Computational Science Stack Exchange is a question and answer site for scientists using computers to solve scientific problems. It only takes a minute to sign up.
Sign up to join this community
I have to deal with FEM and the numerical solution of PDEs a lot. While I'm doing ok when just applying or implementing it, I observe a lack of understanding when authors begin to argue with "Ritz", "Galerkin", "Weak Form", "Integration by parts" and so on.
Can anyone recommend me a good book to get some basics in that field, specifically targeted to understand FEM and the numerical solution of PDEs.
The book of Thomas J.R. Hughes : The finite Element Method, Linear static and dynamic finite element analysis, is probably the reference that you need.
You could find in the first chapter the building of the discretized form of a simple one-dimensional boundary-value problem from its strong formulation.
