Theoretical Background

This part introduces parts the theoretical mathematical background necessary to use SfePy effectively. It also discusses some implementation choices done in SfePy.

Contents:

• Notes on solving PDEs by the Finite Element Method
  • Strong form of Poisson’s equation and its integration
  • The weak form of the Poisson’s equation
  • Discussion of discretization and meshing
  • Numerical solution of the problem
• Implementation of Essential Boundary Conditions
  • Motivation
  • Implementation