The finite element method
9.1 Two-point boundary value problems
The finite element method (FEM) presents to all those who were weaned on finite differences an entirely new outlook on the computation of a numerical solution for differential equations. Although it is often encapsulated in a few buzzwords – ‘weak solution’, ‘Galerkin’, ‘finite element functions’ – an understanding of the FEM calls not just for a different frame of mind but also for the comprehension of several principles. Each principle is important but it is their combination ...