Architecture

FEM (Finite Element Method)

1. Define the problem
   • Material properties, boundary conditions, initial conditions
2. Discretize the domain
   • Element types, mesh generation
3. Define element matrices (software)
4. Assemble global matrix (software)
5. Solve (software)
   • iterative solvers
     • conjuguate gradient method (only works for symetric and positive definites, which can be inferred from the equation)
     • general
       • BICGStab
       • GMRES
   • direct solver
6. Post-process results, Validate results

FVM (Finite Volume Method)

• computational domain
• mesh
• discretization of equations
• solution of system of algebraic equations