FEM implementations

The finite element implementations in the various chaste solvers are described in the attached pdf.

Contents:

1 Finite element solution of simple equations
1.1 Poisson's equation 
1.1.1 Applying Dirichlet boundary conditions
1.2 The heat equation 

2 Chaste PDE solvers 
2.1 SimpleLinearEllipticSolver
2.2 SimpleLinearParabolicSolver
2.3 SimpleNonlinearEllipticSolver

3 Cardiac electrophsiology 
3.1 The monodomain equations 
3.2 The bidomain equations
3.3 The bidomain equations with a perfusing bath
3.3.1 The bidomain problem with a bath, including stimuli and parameters 

4 Solid mechanics 
4.1 Formulation
4.1.1 Kinematics
4.1.2 Stress
4.1.3 Equilibrium equations
4.2 Hyper-elasticity and material laws
4.3 Weak form and nite element discretisation
4.4 Test problems
4.5 Other implementation calculations

5 Cardiac electro-mechanics
5.1 Formulation
5.2 Implicit or explicit schemes
5.3 Anisotropic passive material laws