a presentation of the library ofeli
play

A presentation of the library OFELI Rachid Touzani Laboratoire de - PowerPoint PPT Presentation

Nov 30, 2022 •13 likes •1.07k views

A presentation of the library OFELI Rachid Touzani Laboratoire de Math ematiques Universit e Blaise Pascal Clermont-Ferrand, France OFELI Presentation R. Touzani 1/20 Introduction An example of a finite element code Structure of the

  1. Introduction An example of a finite element code Structure of the library The OFELI package Levels of use of the library • Level 0: No knowledge of C++ is required. Use of prototype programs (Demos) • Level 1: Programming of finite element codes using OFELI classes. Possible contribution with classes and functions = ⇒ Contribution to Demo programs • Level 2: Contribution to the library’s kernel by Implementing equations classes and solvers, . . . What are objects in a finite element code ? Mathematical entities that one manipulates when solving a problem: Mesh, matrices, vectors, equations, solvers (nonlinear problems, optimization, . . . ), . . . OFELI Presentation R. Touzani 4/20

  2. Introduction An example of a finite element code Structure of the library The OFELI package Levels of use of the library • Level 0: No knowledge of C++ is required. Use of prototype programs (Demos) • Level 1: Programming of finite element codes using OFELI classes. Possible contribution with classes and functions = ⇒ Contribution to Demo programs • Level 2: Contribution to the library’s kernel by Implementing equations classes and solvers, . . . What are objects in a finite element code ? Mathematical entities that one manipulates when solving a problem: Mesh, matrices, vectors, equations, solvers (nonlinear problems, optimization, . . . ), . . . OFELI Presentation R. Touzani 4/20

  3. Introduction An example of a finite element code Structure of the library The OFELI package Levels of use of the library • Level 0: No knowledge of C++ is required. Use of prototype programs (Demos) • Level 1: Programming of finite element codes using OFELI classes. Possible contribution with classes and functions = ⇒ Contribution to Demo programs • Level 2: Contribution to the library’s kernel by Implementing equations classes and solvers, . . . What are objects in a finite element code ? Mathematical entities that one manipulates when solving a problem: Mesh, matrices, vectors, equations, solvers (nonlinear problems, optimization, . . . ), . . . OFELI Presentation R. Touzani 4/20

  4. Introduction An example of a finite element code Structure of the library The OFELI package Levels of use of the library • Level 0: No knowledge of C++ is required. Use of prototype programs (Demos) • Level 1: Programming of finite element codes using OFELI classes. Possible contribution with classes and functions = ⇒ Contribution to Demo programs • Level 2: Contribution to the library’s kernel by Implementing equations classes and solvers, . . . What are objects in a finite element code ? Mathematical entities that one manipulates when solving a problem: Mesh, matrices, vectors, equations, solvers (nonlinear problems, optimization, . . . ), . . . OFELI Presentation R. Touzani 4/20

  5. Introduction An example of a finite element code Structure of the library The OFELI package An example of program Consider the following boundary value problem: in Ω ⊂ R 2 (or R 3 ) ∆ u = 0 u = g on ∂ Ω Matrix Formulation Au = b where � a ij = ∇ φ j · ∇ φ i d x Ω Boundary Conditions: We enforce u = g by a penalty technique: i − 1 N � � a ij u j + a ij u j + λ a ii u i = λ a ii g ( x i ) λ ≫ 1 j =1 j = i +1 for each node i on the boundary. OFELI Presentation R. Touzani 5/20

  6. Introduction An example of a finite element code Structure of the library The OFELI package An example of program Consider the following boundary value problem: in Ω ⊂ R 2 (or R 3 ) ∆ u = 0 u = g on ∂ Ω Matrix Formulation Au = b where � a ij = ∇ φ j · ∇ φ i d x Ω Boundary Conditions: We enforce u = g by a penalty technique: i − 1 N � � a ij u j + a ij u j + λ a ii u i = λ a ii g ( x i ) λ ≫ 1 j =1 j = i +1 for each node i on the boundary. OFELI Presentation R. Touzani 5/20

  7. Introduction An example of a finite element code Structure of the library The OFELI package An example of program Consider the following boundary value problem: in Ω ⊂ R 2 (or R 3 ) ∆ u = 0 u = g on ∂ Ω Matrix Formulation Au = b where � a ij = ∇ φ j · ∇ φ i d x Ω Boundary Conditions: We enforce u = g by a penalty technique: i − 1 N � � a ij u j + a ij u j + λ a ii u i = λ a ii g ( x i ) λ ≫ 1 j =1 j = i +1 for each node i on the boundary. OFELI Presentation R. Touzani 5/20

  8. Introduction An example of a finite element code Structure of the library The OFELI package An example of program Consider the following boundary value problem: in Ω ⊂ R 2 (or R 3 ) ∆ u = 0 u = g on ∂ Ω Matrix Formulation Au = b where � a ij = ∇ φ j · ∇ φ i d x Ω Boundary Conditions: We enforce u = g by a penalty technique: i − 1 N � � a ij u j + a ij u j + λ a ii u i = λ a ii g ( x i ) λ ≫ 1 j =1 j = i +1 for each node i on the boundary. OFELI Presentation R. Touzani 5/20

  9. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  10. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  11. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  12. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  13. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  14. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  15. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  16. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  17. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  18. Introduction An example of a finite element code Structure of the library The OFELI package #include "OFELI.h" #include "Therm.h" using namespace OFELI; int main() { Mesh ms("test.m"); SkSMatrix<double> A(ms); Vect<double> b(ms.getNbDOF()), bc(ms.getNbDOF()); // Initialize bc MeshElements(ms) { DC2DT3 eq(theElement); eq.Diffusion(); eq.ElementAssembly(A); } A.Prescribe(ms,b,bc); A.Factor(); A.Solve(b); cout << b; return 0; } OFELI Presentation R. Touzani 6/20

  19. Introduction An example of a finite element code Structure of the library The OFELI package Classes in OFELI Some conventions • Class names always begin with a capital letter. • Member function names begin with capital letters except if the name starts with a verb. et les get... . • Class members that modify a class have generally names that start with the verb set ( e.g., setSize() ) • Class members that return an information have generally names that start with the verb get . ( e.g., getNbNodes() ) • Most of classes have an overload of the operator << OFELI Presentation R. Touzani 7/20

  20. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  21. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  22. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  23. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  24. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  25. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  26. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  27. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  28. Introduction An example of a finite element code Structure of the library The OFELI package To each phase in the procedure corresponds a family of classes : 1. Mesh classes Construction of a mesh: Mesh ms("test.m"); Output of a mesh : cout << ms; Loop over elements: for (ms.topElement(); (theElement=ms.getElement());) cout << *theElement; or equivalently: MeshElements(ms) Get pointer to a node: Node *nd = el->getPtrNode(2); Creation of boundary sides: ms.getBoundarySides(); Creation of all sides: ms.getAllSides(); Change of unknown support: ms.setDOFSupport(SIDE DOF); OFELI Presentation R. Touzani 8/20

  29. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  30. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  31. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  32. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  33. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  34. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  35. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  36. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  37. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  38. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  39. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes A wide variety of Template classes for vectors The template parameter is the data type for vector entries A vector class called Vect<T > . Class Vect<T > : Construction of a vector: Vect<double> v(ms.getNbNodes()); Assignment: v(1) = 5; v[0] = 5; v = -10; Other operations: v += w; v *= 5; Assembly: v.Assembly(el,ve); Euclidean norm: double x = v.getNorm2(); Vector size: int n = v.getSize(); OFELI Presentation R. Touzani 9/20

  40. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes: Class NodeVect<T > : “Node” oriented vector Construction of a vector: NodeVect<double> v(ms); NodeVect(Mesh &mesh, const Vect<T > &v, int nb dof, int first dof, char *name, double time); Assignment: v(n,i) = 5; Class ElementVect<T > : “Element” oriented vector Class SideVect<T > : “Side” oriented vector Class LocalVect<T ,N > : Small size vector LocalVect<double,4> v; OFELI Presentation R. Touzani 10/20

  41. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes: Class NodeVect<T > : “Node” oriented vector Construction of a vector: NodeVect<double> v(ms); NodeVect(Mesh &mesh, const Vect<T > &v, int nb dof, int first dof, char *name, double time); Assignment: v(n,i) = 5; Class ElementVect<T > : “Element” oriented vector Class SideVect<T > : “Side” oriented vector Class LocalVect<T ,N > : Small size vector LocalVect<double,4> v; OFELI Presentation R. Touzani 10/20

  42. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes: Class NodeVect<T > : “Node” oriented vector Construction of a vector: NodeVect<double> v(ms); NodeVect(Mesh &mesh, const Vect<T > &v, int nb dof, int first dof, char *name, double time); Assignment: v(n,i) = 5; Class ElementVect<T > : “Element” oriented vector Class SideVect<T > : “Side” oriented vector Class LocalVect<T ,N > : Small size vector LocalVect<double,4> v; OFELI Presentation R. Touzani 10/20

  43. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes: Class NodeVect<T > : “Node” oriented vector Construction of a vector: NodeVect<double> v(ms); NodeVect(Mesh &mesh, const Vect<T > &v, int nb dof, int first dof, char *name, double time); Assignment: v(n,i) = 5; Class ElementVect<T > : “Element” oriented vector Class SideVect<T > : “Side” oriented vector Class LocalVect<T ,N > : Small size vector LocalVect<double,4> v; OFELI Presentation R. Touzani 10/20

  44. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes: Class NodeVect<T > : “Node” oriented vector Construction of a vector: NodeVect<double> v(ms); NodeVect(Mesh &mesh, const Vect<T > &v, int nb dof, int first dof, char *name, double time); Assignment: v(n,i) = 5; Class ElementVect<T > : “Element” oriented vector Class SideVect<T > : “Side” oriented vector Class LocalVect<T ,N > : Small size vector LocalVect<double,4> v; OFELI Presentation R. Touzani 10/20

  45. Introduction An example of a finite element code Structure of the library The OFELI package 2. Vector classes: Class NodeVect<T > : “Node” oriented vector Construction of a vector: NodeVect<double> v(ms); NodeVect(Mesh &mesh, const Vect<T > &v, int nb dof, int first dof, char *name, double time); Assignment: v(n,i) = 5; Class ElementVect<T > : “Element” oriented vector Class SideVect<T > : “Side” oriented vector Class LocalVect<T ,N > : Small size vector LocalVect<double,4> v; OFELI Presentation R. Touzani 10/20

  46. Introduction An example of a finite element code Structure of the library The OFELI package 3. Matrix classes: Template classes for storage and manipulation of matrices using principal storage types: • Dense storage: DMatrix<T > and DSMatrix<T > • Skyline storage: SkMatrix<T > and SkSMatrix<T > • Sparse storage: SpMatrix<T > • TrMatrix<T > , LocalMatrix<T ,NR ,NC > , . . . OFELI Presentation R. Touzani 11/20

  47. Introduction An example of a finite element code Structure of the library The OFELI package 3. Matrix classes: Template classes for storage and manipulation of matrices using principal storage types: • Dense storage: DMatrix<T > and DSMatrix<T > • Skyline storage: SkMatrix<T > and SkSMatrix<T > • Sparse storage: SpMatrix<T > • TrMatrix<T > , LocalMatrix<T ,NR ,NC > , . . . OFELI Presentation R. Touzani 11/20

  48. Introduction An example of a finite element code Structure of the library The OFELI package 3. Matrix classes: Template classes for storage and manipulation of matrices using principal storage types: • Dense storage: DMatrix<T > and DSMatrix<T > • Skyline storage: SkMatrix<T > and SkSMatrix<T > • Sparse storage: SpMatrix<T > • TrMatrix<T > , LocalMatrix<T ,NR ,NC > , . . . OFELI Presentation R. Touzani 11/20

  49. Introduction An example of a finite element code Structure of the library The OFELI package 3. Matrix classes: Template classes for storage and manipulation of matrices using principal storage types: • Dense storage: DMatrix<T > and DSMatrix<T > • Skyline storage: SkMatrix<T > and SkSMatrix<T > • Sparse storage: SpMatrix<T > • TrMatrix<T > , LocalMatrix<T ,NR ,NC > , . . . OFELI Presentation R. Touzani 11/20

  50. Introduction An example of a finite element code Structure of the library The OFELI package 3. Matrix classes: Template classes for storage and manipulation of matrices using principal storage types: • Dense storage: DMatrix<T > and DSMatrix<T > • Skyline storage: SkMatrix<T > and SkSMatrix<T > • Sparse storage: SpMatrix<T > • TrMatrix<T > , LocalMatrix<T ,NR ,NC > , . . . OFELI Presentation R. Touzani 11/20

  51. Introduction An example of a finite element code Structure of the library The OFELI package 3. Matrix classes: Template classes for storage and manipulation of matrices using principal storage types: • Dense storage: DMatrix<T > and DSMatrix<T > • Skyline storage: SkMatrix<T > and SkSMatrix<T > • Sparse storage: SpMatrix<T > • TrMatrix<T > , LocalMatrix<T ,NR ,NC > , . . . OFELI Presentation R. Touzani 11/20

  52. Introduction An example of a finite element code Structure of the library The OFELI package 4. Equation classes: • An element equation is an object • Each term of the equation is a member of the class that contributes to the left and/or the right-hand side • OFELI contains a collection of classes specific to problems: • Laplace : Various numerical methods to solve the Laplace equation • Therm: Diffusion-convection problem with phase change • Solid: Elasticity problem • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Electromagnetic and Eddy Current problems • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 12/20

  53. Introduction An example of a finite element code Structure of the library The OFELI package 4. Equation classes: • An element equation is an object • Each term of the equation is a member of the class that contributes to the left and/or the right-hand side • OFELI contains a collection of classes specific to problems: • Laplace : Various numerical methods to solve the Laplace equation • Therm: Diffusion-convection problem with phase change • Solid: Elasticity problem • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Electromagnetic and Eddy Current problems • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 12/20

  54. Introduction An example of a finite element code Structure of the library The OFELI package 4. Equation classes: • An element equation is an object • Each term of the equation is a member of the class that contributes to the left and/or the right-hand side • OFELI contains a collection of classes specific to problems: • Laplace : Various numerical methods to solve the Laplace equation • Therm: Diffusion-convection problem with phase change • Solid: Elasticity problem • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Electromagnetic and Eddy Current problems • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 12/20

  55. Introduction An example of a finite element code Structure of the library The OFELI package 4. Equation classes: • An element equation is an object • Each term of the equation is a member of the class that contributes to the left and/or the right-hand side • OFELI contains a collection of classes specific to problems: • Laplace : Various numerical methods to solve the Laplace equation • Therm: Diffusion-convection problem with phase change • Solid: Elasticity problem • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Electromagnetic and Eddy Current problems • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 12/20

  56. Introduction An example of a finite element code Structure of the library The OFELI package 5. Shape function classes: To each finite element interpolation corresponds a class (e.g., 3-Node triangles ( P 1 ): Triang3 ) Available shape function classes: Line2 , Line3 , Triang3 , Triang6S , Quad4 , Tetra4 , Hexa8 . 6. Solvers: OFELI contains some template functions enabling the solution of specific problems. • Direct and iterative solvers (with preconditioners) for linear systems • Optimization problems can be solved by using a template function. The Objective function and its gradient are given through a user defined class. OFELI Presentation R. Touzani 13/20

  57. Introduction An example of a finite element code Structure of the library The OFELI package 5. Shape function classes: To each finite element interpolation corresponds a class (e.g., 3-Node triangles ( P 1 ): Triang3 ) Available shape function classes: Line2 , Line3 , Triang3 , Triang6S , Quad4 , Tetra4 , Hexa8 . 6. Solvers: OFELI contains some template functions enabling the solution of specific problems. • Direct and iterative solvers (with preconditioners) for linear systems • Optimization problems can be solved by using a template function. The Objective function and its gradient are given through a user defined class. OFELI Presentation R. Touzani 13/20

  58. Introduction An example of a finite element code Structure of the library The OFELI package 5. Shape function classes: To each finite element interpolation corresponds a class (e.g., 3-Node triangles ( P 1 ): Triang3 ) Available shape function classes: Line2 , Line3 , Triang3 , Triang6S , Quad4 , Tetra4 , Hexa8 . 6. Solvers: OFELI contains some template functions enabling the solution of specific problems. • Direct and iterative solvers (with preconditioners) for linear systems • Optimization problems can be solved by using a template function. The Objective function and its gradient are given through a user defined class. OFELI Presentation R. Touzani 13/20

  59. Introduction An example of a finite element code Structure of the library The OFELI package 5. Shape function classes: To each finite element interpolation corresponds a class (e.g., 3-Node triangles ( P 1 ): Triang3 ) Available shape function classes: Line2 , Line3 , Triang3 , Triang6S , Quad4 , Tetra4 , Hexa8 . 6. Solvers: OFELI contains some template functions enabling the solution of specific problems. • Direct and iterative solvers (with preconditioners) for linear systems • Optimization problems can be solved by using a template function. The Objective function and its gradient are given through a user defined class. OFELI Presentation R. Touzani 13/20

  60. Introduction An example of a finite element code Structure of the library The OFELI package 5. Shape function classes: To each finite element interpolation corresponds a class (e.g., 3-Node triangles ( P 1 ): Triang3 ) Available shape function classes: Line2 , Line3 , Triang3 , Triang6S , Quad4 , Tetra4 , Hexa8 . 6. Solvers: OFELI contains some template functions enabling the solution of specific problems. • Direct and iterative solvers (with preconditioners) for linear systems • Optimization problems can be solved by using a template function. The Objective function and its gradient are given through a user defined class. OFELI Presentation R. Touzani 13/20

  61. Introduction An example of a finite element code Structure of the library The OFELI package 5. Shape function classes: To each finite element interpolation corresponds a class (e.g., 3-Node triangles ( P 1 ): Triang3 ) Available shape function classes: Line2 , Line3 , Triang3 , Triang6S , Quad4 , Tetra4 , Hexa8 . 6. Solvers: OFELI contains some template functions enabling the solution of specific problems. • Direct and iterative solvers (with preconditioners) for linear systems • Optimization problems can be solved by using a template function. The Objective function and its gradient are given through a user defined class. OFELI Presentation R. Touzani 13/20

  62. Introduction An example of a finite element code Structure of the library The OFELI package 5. Shape function classes: To each finite element interpolation corresponds a class (e.g., 3-Node triangles ( P 1 ): Triang3 ) Available shape function classes: Line2 , Line3 , Triang3 , Triang6S , Quad4 , Tetra4 , Hexa8 . 6. Solvers: OFELI contains some template functions enabling the solution of specific problems. • Direct and iterative solvers (with preconditioners) for linear systems • Optimization problems can be solved by using a template function. The Objective function and its gradient are given through a user defined class. OFELI Presentation R. Touzani 13/20

  63. Introduction An example of a finite element code Structure of the library The OFELI package Handling of material properties: • Each material is defined in a file having its name (e.g., Copper.md). • A user can defined his own material file. • A generic material enables giving standard properties of a material. OFELI Presentation R. Touzani 14/20

  64. Introduction An example of a finite element code Structure of the library The OFELI package Handling of material properties: • Each material is defined in a file having its name (e.g., Copper.md). • A user can defined his own material file. • A generic material enables giving standard properties of a material. OFELI Presentation R. Touzani 14/20

  65. Introduction An example of a finite element code Structure of the library The OFELI package Handling of material properties: • Each material is defined in a file having its name (e.g., Copper.md). • A user can defined his own material file. • A generic material enables giving standard properties of a material. OFELI Presentation R. Touzani 14/20

  66. Introduction An example of a finite element code Structure of the library The OFELI package Handling of material properties: • Each material is defined in a file having its name (e.g., Copper.md). • A user can defined his own material file. • A generic material enables giving standard properties of a material. OFELI Presentation R. Touzani 14/20

  67. Introduction An example of a finite element code Structure of the library The OFELI package Data structures in OFELI OFELI use the XML syntax for all input and output files. All types of data are to be introduced by means of an XML tag:Various data files can be used: Project : To introduce various parameters for a main program Domain : To describe a domain via its geometric properties (for 2-D mesh generation) Mesh : To describe mesh data Material : To describe properties of a material ( i.e. a used defined material) Field : To give any input or output field (by nodes, elements or sides). A typical XML OFELI File <?xml version="1.0" encoding="ISO-8859-1" ?> <OFELI File> <info> <title></title> <date></date> <author></author> </info> ... ... </OFELI File> OFELI Presentation R. Touzani 15/20

  68. Introduction An example of a finite element code Structure of the library The OFELI package Data structures in OFELI OFELI use the XML syntax for all input and output files. All types of data are to be introduced by means of an XML tag:Various data files can be used: Project : To introduce various parameters for a main program Domain : To describe a domain via its geometric properties (for 2-D mesh generation) Mesh : To describe mesh data Material : To describe properties of a material ( i.e. a used defined material) Field : To give any input or output field (by nodes, elements or sides). A typical XML OFELI File <?xml version="1.0" encoding="ISO-8859-1" ?> <OFELI File> <info> <title></title> <date></date> <author></author> </info> ... ... </OFELI File> OFELI Presentation R. Touzani 15/20

  69. Introduction An example of a finite element code Structure of the library The OFELI package Data structures in OFELI OFELI use the XML syntax for all input and output files. All types of data are to be introduced by means of an XML tag:Various data files can be used: Project : To introduce various parameters for a main program Domain : To describe a domain via its geometric properties (for 2-D mesh generation) Mesh : To describe mesh data Material : To describe properties of a material ( i.e. a used defined material) Field : To give any input or output field (by nodes, elements or sides). A typical XML OFELI File <?xml version="1.0" encoding="ISO-8859-1" ?> <OFELI File> <info> <title></title> <date></date> <author></author> </info> ... ... </OFELI File> OFELI Presentation R. Touzani 15/20

  70. Introduction An example of a finite element code Structure of the library The OFELI package An example of mesh file: <?xml version="1.0" encoding="ISO-8859-1" ?> <OFELI File> <info> <title></title> <date></date> <author></author> </info> <Mesh dim="2"> <Nodes> 0.00 0.00 2 1.00 0.00 0 1.00 1.00 2 0.00 1.00 0 0.50 0.50 1 </Nodes> <Elements shape="triangle" nodes="3"> 1 2 5 2 3 5 3 4 5 3 4 5 4 1 5 </Elements> </Mesh> </OFELI File> OFELI Presentation R. Touzani 16/20

  71. Introduction An example of a finite element code Structure of the library The OFELI package The OFELI package The OFELI library is free and under the GPL license (GNU General Public License). It is available on the web site http://www.ofeli.net. The package contains: 1 Source files of the library (kernel + problem dependent classes: Laplace, Thermics, Solid mechanics, Fluid dynamics, Electromagnetics). 2 Documentation in HTML and PDF. The documentation is automatically generated by doxygen. 3 A tutorial with examples of finite element codes with increasing difficulty 4 Demos: Multiple finite element programs 5 A mesh generator for 2–D meshes 6 Utility programs: conversion OFELI Presentation R. Touzani 17/20

  72. Introduction An example of a finite element code Structure of the library The OFELI package The OFELI package The OFELI library is free and under the GPL license (GNU General Public License). It is available on the web site http://www.ofeli.net. The package contains: 1 Source files of the library (kernel + problem dependent classes: Laplace, Thermics, Solid mechanics, Fluid dynamics, Electromagnetics). 2 Documentation in HTML and PDF. The documentation is automatically generated by doxygen. 3 A tutorial with examples of finite element codes with increasing difficulty 4 Demos: Multiple finite element programs 5 A mesh generator for 2–D meshes 6 Utility programs: conversion OFELI Presentation R. Touzani 17/20

  73. Introduction An example of a finite element code Structure of the library The OFELI package The OFELI package The OFELI library is free and under the GPL license (GNU General Public License). It is available on the web site http://www.ofeli.net. The package contains: 1 Source files of the library (kernel + problem dependent classes: Laplace, Thermics, Solid mechanics, Fluid dynamics, Electromagnetics). 2 Documentation in HTML and PDF. The documentation is automatically generated by doxygen. 3 A tutorial with examples of finite element codes with increasing difficulty 4 Demos: Multiple finite element programs 5 A mesh generator for 2–D meshes 6 Utility programs: conversion OFELI Presentation R. Touzani 17/20

  74. Introduction An example of a finite element code Structure of the library The OFELI package The OFELI package The OFELI library is free and under the GPL license (GNU General Public License). It is available on the web site http://www.ofeli.net. The package contains: 1 Source files of the library (kernel + problem dependent classes: Laplace, Thermics, Solid mechanics, Fluid dynamics, Electromagnetics). 2 Documentation in HTML and PDF. The documentation is automatically generated by doxygen. 3 A tutorial with examples of finite element codes with increasing difficulty 4 Demos: Multiple finite element programs 5 A mesh generator for 2–D meshes 6 Utility programs: conversion OFELI Presentation R. Touzani 17/20

  75. Introduction An example of a finite element code Structure of the library The OFELI package The OFELI package The OFELI library is free and under the GPL license (GNU General Public License). It is available on the web site http://www.ofeli.net. The package contains: 1 Source files of the library (kernel + problem dependent classes: Laplace, Thermics, Solid mechanics, Fluid dynamics, Electromagnetics). 2 Documentation in HTML and PDF. The documentation is automatically generated by doxygen. 3 A tutorial with examples of finite element codes with increasing difficulty 4 Demos: Multiple finite element programs 5 A mesh generator for 2–D meshes 6 Utility programs: conversion OFELI Presentation R. Touzani 17/20

  76. Introduction An example of a finite element code Structure of the library The OFELI package The OFELI package The OFELI library is free and under the GPL license (GNU General Public License). It is available on the web site http://www.ofeli.net. The package contains: 1 Source files of the library (kernel + problem dependent classes: Laplace, Thermics, Solid mechanics, Fluid dynamics, Electromagnetics). 2 Documentation in HTML and PDF. The documentation is automatically generated by doxygen. 3 A tutorial with examples of finite element codes with increasing difficulty 4 Demos: Multiple finite element programs 5 A mesh generator for 2–D meshes 6 Utility programs: conversion OFELI Presentation R. Touzani 17/20

  77. Introduction An example of a finite element code Structure of the library The OFELI package The OFELI package The OFELI library is free and under the GPL license (GNU General Public License). It is available on the web site http://www.ofeli.net. The package contains: 1 Source files of the library (kernel + problem dependent classes: Laplace, Thermics, Solid mechanics, Fluid dynamics, Electromagnetics). 2 Documentation in HTML and PDF. The documentation is automatically generated by doxygen. 3 A tutorial with examples of finite element codes with increasing difficulty 4 Demos: Multiple finite element programs 5 A mesh generator for 2–D meshes 6 Utility programs: conversion OFELI Presentation R. Touzani 17/20

  78. Introduction An example of a finite element code Structure of the library The OFELI package The Demos These are partitioned in physical problems: • Therm: Diffusion–Convection (steady state and transient) • Solid: Linear Elasticity 2–D et 3–D • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Helmholtz and Eddy Current equations s in 2–D • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 18/20

  79. Introduction An example of a finite element code Structure of the library The OFELI package The Demos These are partitioned in physical problems: • Therm: Diffusion–Convection (steady state and transient) • Solid: Linear Elasticity 2–D et 3–D • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Helmholtz and Eddy Current equations s in 2–D • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 18/20

  80. Introduction An example of a finite element code Structure of the library The OFELI package The Demos These are partitioned in physical problems: • Therm: Diffusion–Convection (steady state and transient) • Solid: Linear Elasticity 2–D et 3–D • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Helmholtz and Eddy Current equations s in 2–D • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 18/20

  81. Introduction An example of a finite element code Structure of the library The OFELI package The Demos These are partitioned in physical problems: • Therm: Diffusion–Convection (steady state and transient) • Solid: Linear Elasticity 2–D et 3–D • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Helmholtz and Eddy Current equations s in 2–D • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 18/20

  82. Introduction An example of a finite element code Structure of the library The OFELI package The Demos These are partitioned in physical problems: • Therm: Diffusion–Convection (steady state and transient) • Solid: Linear Elasticity 2–D et 3–D • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Helmholtz and Eddy Current equations s in 2–D • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 18/20

  83. Introduction An example of a finite element code Structure of the library The OFELI package The Demos These are partitioned in physical problems: • Therm: Diffusion–Convection (steady state and transient) • Solid: Linear Elasticity 2–D et 3–D • Fluid: Incompressible Navier-Stokes equations • Electromagnetics: Helmholtz and Eddy Current equations s in 2–D • CL: Systems of Conservation Laws OFELI Presentation R. Touzani 18/20

  84. Introduction An example of a finite element code Structure of the library The OFELI package The utilities • Conversion of mesh files issued from: EasyMesh, EMC2, BAMG, Netgen, Gmsh, Gambit, Triangle and Matlab • Conversion of mesh and output files issued from: Matlab, Tecplot, Gnuplot and Paraview (VTK) • Generation of 2-D meshes by BAMG ou Triangle OFELI Presentation R. Touzani 19/20

  85. Introduction An example of a finite element code Structure of the library The OFELI package The utilities • Conversion of mesh files issued from: EasyMesh, EMC2, BAMG, Netgen, Gmsh, Gambit, Triangle and Matlab • Conversion of mesh and output files issued from: Matlab, Tecplot, Gnuplot and Paraview (VTK) • Generation of 2-D meshes by BAMG ou Triangle OFELI Presentation R. Touzani 19/20

  86. Introduction An example of a finite element code Structure of the library The OFELI package The utilities • Conversion of mesh files issued from: EasyMesh, EMC2, BAMG, Netgen, Gmsh, Gambit, Triangle and Matlab • Conversion of mesh and output files issued from: Matlab, Tecplot, Gnuplot and Paraview (VTK) • Generation of 2-D meshes by BAMG ou Triangle OFELI Presentation R. Touzani 19/20

  87. Introduction An example of a finite element code Structure of the library The OFELI package The utilities • Conversion of mesh files issued from: EasyMesh, EMC2, BAMG, Netgen, Gmsh, Gambit, Triangle and Matlab • Conversion of mesh and output files issued from: Matlab, Tecplot, Gnuplot and Paraview (VTK) • Generation of 2-D meshes by BAMG ou Triangle OFELI Presentation R. Touzani 19/20

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend

Presentation 7.3b: Multiple linear regression Murray Logan 09 Aug 2016 library (GGally) library

Presentation 7.3b: Multiple linear regression Murray Logan 09 Aug 2016 library (GGally) library

Presentation 7.3b: Multiple linear regression Murray Logan 09 Aug 2016 library (GGally) library (ggplot2) library (gridExtra) library (dplyr) library (coda) library (brms) library (rstan) library (car) Preparations g e s c k a P a a D

180 views • 14 slides
Library RMR Project Renovate, Modernize, Reorganize Library Serves Patrons of Every Age This

Library RMR Project Renovate, Modernize, Reorganize Library Serves Patrons of Every Age This

Library RMR Project Renovate, Modernize, Reorganize Library Serves Patrons of Every Age This Library is Well-Used! Community Feedback Verified Strategic Plan Posted on library website November 2015 Plans displayed at library December

420 views • 19 slides
The Standard C Library 1 The C Standard Library 2 The C Standard Library I/O stdio.h

The Standard C Library 1 The C Standard Library 2 The C Standard Library I/O stdio.h

The Standard C Library 1 The C Standard Library 2 The C Standard Library I/O stdio.h printf, scanf, puts, gets, open, close, read, write, fprintf, fscanf, fseek, Memory and string operations string.h memcpy, memcmp, memset,

1.02k views • 54 slides
Library Department FY 2021 Library Department FY 2021 Library Organization Chart Springfield

Library Department FY 2021 Library Department FY 2021 Library Organization Chart Springfield

Library Department FY 2021 Library Department FY 2021 Library Organization Chart Springfield Library Foundation Springfield Museum Library Director Friends of the Advisory Committee 1.0 FTE Springfield Library Library Substitute

432 views • 10 slides
CUE Library Information Everything you need to know about CUE Library. We're here to help!

CUE Library Information Everything you need to know about CUE Library. We're here to help!

Welcome Students! CUE Library Information Everything you need to know about CUE Library. We're here to help! JoAnne Dana Myrna Lynette Dan Meghan Jenna Victoria With Your Research With Your Citations Whether you need help finding

459 views • 19 slides
PopUp Library @ Senior Center Whats a PopUp Library? Library services somewhere that is

PopUp Library @ Senior Center Whats a PopUp Library? Library services somewhere that is

PopUp Library @ Senior Center Whats a PopUp Library? Library services somewhere that is NOT the Library Outreach Serving the underserved Need to have Wifi App enabled device MobileCirc App Bluetooth scanner

323 views • 7 slides
The Homeschooling - Library Connection Diane Pamel- Library Director Southworth Library and

The Homeschooling - Library Connection Diane Pamel- Library Director Southworth Library and

The Homeschooling - Library Connection Diane Pamel- Library Director Southworth Library and homeschool parent of 5 sons (now adults) Anna Chappell Library Assistant at Interlaken Library and current homeschool parent of 2? Gina

513 views • 28 slides
David Wilson Library &amp; Media Zoo Do I need to join the library? Clinical Sciences Library

David Wilson Library &amp; Media Zoo Do I need to join the library? Clinical Sciences Library

29/09/2010 Information Librarians can help with Introduction to Library Services Literature searching and specialist sources. College of Medicine, Biological Science &amp; Keeping ahead of new publications in your Psychology. field.

620 views • 3 slides
Library Services in Guatemala and Utah: Applying lessons learned abroad in library outreach and

Library Services in Guatemala and Utah: Applying lessons learned abroad in library outreach and

Library Services in Guatemala and Utah: Applying lessons learned abroad in library outreach and collections SLCO Library System Stephanie Anderson- South Main Clinic Library: sanderson@slcolibrary.org David Bird- Kearns Library:

509 views • 22 slides
Library Technology Library &amp; Technology Library 8{ Technology 2010 - 201I Expenditures hy

Library Technology Library &amp; Technology Library 8{ Technology 2010 - 201I Expenditures hy

Library Technology Library &amp; Technology Library 8{ Technology 2010 - 201I Expenditures hy Maior Category Strvingsfrom D.O. move ilnd Datu / I'el lines und fi 142,600 8/i28,340 -10.0.44 reductiott in support ilue to hudget sttpport

441 views • 9 slides
Effective searching with the UvA Library What does the UvA Library offer you? 1. Books and

Effective searching with the UvA Library What does the UvA Library offer you? 1. Books and

Library - Stefano Giani august 2016 Effective searching with the UvA Library What does the UvA Library offer you? 1. Books and journals 2. Databases for subject-specific search: Communication and mass media complete , Web of science ,

845 views • 49 slides
Wolfner Talking Book and Braille Library That All May Read Wolfner Library About Wolfner

Wolfner Talking Book and Braille Library That All May Read Wolfner Library About Wolfner

Wolfner Talking Book and Braille Library That All May Read Wolfner Library About Wolfner Library &amp; Its Patrons Wolfner Library has served print-disabled Missourians since 1938. Wolfner Library is Supported by Federal Funding

885 views • 55 slides
An R- -library for 3D visualization library for 3D visualization An R with OpenGL with OpenGL

An R- -library for 3D visualization library for 3D visualization An R with OpenGL with OpenGL

An R- -library for 3D visualization library for 3D visualization An R with OpenGL with OpenGL Oleg Nenadi , Daniel Adler, Walter Zucchini Institute for Statistics and Econometrics, University of Goettingen, Germany RGL: An R-library for

179 views • 14 slides
AAPoly Library Orientation Library Contacts Phone : 61 3 8610 4132 Email : library@aapoly.edu.au

AAPoly Library Orientation Library Contacts Phone : 61 3 8610 4132 Email : library@aapoly.edu.au

AAPoly Library Orientation Library Contacts Phone : 61 3 8610 4132 Email : library@aapoly.edu.au Library Chat : studentlms.aapoly.edu.net.au/AAPOLY Library Chat (Sydney Chat Times : Mon &amp; Wed 12:30 1:30) Opening Hours The library is open

458 views • 23 slides
Beyond Library Walls: Integrating 3D Printing into the Curriculum Susan M. Ryan Taking Our Seat

Beyond Library Walls: Integrating 3D Printing into the Curriculum Susan M. Ryan Taking Our Seat

Beyond Library Walls: Integrating 3D Printing into the Curriculum Susan M. Ryan Taking Our Seat at the Table Dean of the Library &amp; Learning Technologies University Library Section duPont-Ball Library American Library Association Stetson

751 views • 26 slides
Searching in a Public Library Searching in a Public Library Some Experiences with the Search

Searching in a Public Library Searching in a Public Library Some Experiences with the Search

Searching in a Public Library Searching in a Public Library Some Experiences with the Search Behaviour of Patrons of a Public Library At the public library in Waalre (NL) there is a dedicated catalogue system in operation now for 2 years. Alls

444 views • 30 slides
culture information/e-archives PREFORMA Future Memory Standards PREFORMA General Presentation

culture information/e-archives PREFORMA Future Memory Standards PREFORMA General Presentation

PREservation FORMAts for culture information/e-archives PREFORMA Future Memory Standards PREFORMA General Presentation Project Identity Card PREFORMA is a Pre-Commercial Procurement project co-funded by the European Commission under its

144 views • 12 slides
Public Protection Cabinet PROPOSED REORGANIZATION OF GENERAL GOVERNMENT LICENSING BOARDS

Public Protection Cabinet PROPOSED REORGANIZATION OF GENERAL GOVERNMENT LICENSING BOARDS

Public Protection Cabinet PROPOSED REORGANIZATION OF GENERAL GOVERNMENT LICENSING BOARDS Presenters o David Dickerson, Secretary o Gail Russell, Deputy Secretary o Barry Dunn, General Counsel The Need for Reorganization o Ensure Free Markets

219 views • 20 slides
Richard (Dick) Mirgon Immediate Past President APCO International www.apcointl.org Who We

Richard (Dick) Mirgon Immediate Past President APCO International www.apcointl.org Who We

Richard (Dick) Mirgon Immediate Past President APCO International www.apcointl.org Who We Are.. APCO International is the worlds largest organization of public safety communications professionals. For over 75 years it has served the

536 views • 25 slides
Drupal HackCamp 2018 Presentation A tech event What is Why attend not to be missed! Drupal?

Drupal HackCamp 2018 Presentation A tech event What is Why attend not to be missed! Drupal?

www.drupalhackcamp.org Drupal HackCamp 2018 Presentation A tech event What is Why attend not to be missed! Drupal? Drupal HackCamp? Drupal HackCamp 2018 is a tech Written in PHP, and distributed under the With cyber-attacks becoming more

179 views • 7 slides
MySQL Presentation Group members: Marco Tony Kassis Nourhan Sakr Roba Bairakdar Outline What

MySQL Presentation Group members: Marco Tony Kassis Nourhan Sakr Roba Bairakdar Outline What

MySQL Presentation Group members: Marco Tony Kassis Nourhan Sakr Roba Bairakdar Outline What is MySQL? S History S Uses S Platforms and Interfaces S GUIs S Syntax S Why MySQL? S What is MySQL? S It is the

343 views • 23 slides
Project presentation GRASS GIS OSGeo Hacking Event, Bolsena, Italy Martin Landa

Project presentation GRASS GIS OSGeo Hacking Event, Bolsena, Italy Martin Landa

Project presentation GRASS GIS OSGeo Hacking Event, Bolsena, Italy Martin Landa landa.martin@gmail.com June 19, 2008 OSGeo Hacking Event, 16-22 June 2008 1 / 23 Outline Overview Project introduction GRASS and OSGeo Development

443 views • 41 slides
Car Buying Project Balancing Wants and Needs Jimmy Smith Automotive Technology / Mr.

Car Buying Project Balancing Wants and Needs Jimmy Smith Automotive Technology / Mr.

Title of Presentation (52 pt) Sub heading of presentation (if useful) (28 pt) Your Name Course / Teacher Date Due (18 pt) Example: Car Buying Project Balancing Wants and Needs Jimmy Smith Automotive Technology / Mr. Jones

278 views • 9 slides
Resumes and Cover Letters MA MAPH PH Spr Spring ng Wor orks kshop hop grad.uchicago.edu

Resumes and Cover Letters MA MAPH PH Spr Spring ng Wor orks kshop hop grad.uchicago.edu

Resumes and Cover Letters MA MAPH PH Spr Spring ng Wor orks kshop hop grad.uchicago.edu graducon.uchicago.edu gradcareers.uchicago.edu Why Attend GRADUCon? LEARN HOW TO LAUNCH A CAREER IN VARIOUS FIELDS Careers in Museums

559 views • 24 slides

More recommend