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a Generic Finite Element library in C++

Documentation, part 2
Short User Documentation
Yves Renard, Julien Pommier
MIP, INSAT, Complexe scientifique de Rangueil, 31077 Toulouse, France.
November 28, 2007

Introduction
Contents
How to install
Build a mesh

Add an element to a mesh
Remove an element from a mesh
Simple structured meshes
Mesh regions
Methods of the getfem::mesh object
Using dal::bit_vector
Face numbering
Save and load meshes

Selecting finite element methods

Examples
Other methods of the mesh_fem object
Obtaining generic mesh_fems

Selecting integration methods

Methods of the mesh_im object

Mesh refinement
Linear algebra procedures
Standard assembly procedures

Laplacian (Poisson) problem
Linear Elasticity problem
Stokes Problem with mixed finite element method
Assembling a mass matrix

Compute arbitrary elementary matrices - generic assembly procedures
Incorporate new finite element methods in getfem++
Incorporate new approximated integration methods in getfem++
Level-sets, Xfem, fictitious domains

Representation of level-sets
Mesh cut by level-sets
Adapted integration methods
Discontinuous field across some level-sets
Fictitious domain approach with Xfem

Support for Xfem methods
Interpolation of a finite element method on non-matching meshes

mixed methods with different meshes
mortar methods

Compute L² and H¹ norms
Compute derivatives
Export and view a solution

Saving mesh and mesh_fem objects for the Matlab interface
Producing mesh slices
Exporting mesh, mesh_fem or slices to VTK
Exporting mesh, mesh_fem or slices to OpenDX

Interpolation on different meshes
The model bricks

The model state variable
Basic properties of a brick
Brick parameters
generic elliptic brick
Source term brick
Constraint brick
Dirichlet condition brick
Example of a complete Poisson problem
Predefined solvers
Isotropic linearized elasticity brick
Qu term brick
Helmholtz brick
linear incompressibility (or nearly incompressibility) brick
Small displacement plasticity brick
Contact and friction conditions brick
Linearized plate brick
Large strain elasticity brick
Large strain incompressibility brick

Parallelization of getfem++
Catch errors
Example : Laplacian program
Appendix A. Finite element method list

Dof graphical codification
Classical P_K Lagrange elements on simplices
Classical Lagrange elements on other geometries
Elements with hierarchical basis
Classical vectorial elements
Specific elements in dimension 1
Specific elements in dimension 2
Specific elements in dimension 3

Appendix B. Cubature method list

Exact Integration methods
Newton cotes Integration methods
Gauss Integration methods on dimension 1
Gauss Integration methods on dimension 2
Gauss Integration methods on dimension 3
Direct product of integration methods
Composite integration methods

References
Index