In this program
- Weak formulations of elliptic boundary-value problems
- Lax–Milgram theorem and well-posedness
- Galerkin and Petrov–Galerkin approximations
- Energy norms
- Best approximation in Hilbert spaces
- Abstract error estimates (Céa's lemma)
Variational foundations
Weak formulations of elliptic boundary-value problems
Finite element methods · Standard syllabus
Topic
Weak formulations of elliptic boundary-value problems
Graduate Finite Element Methods — scope drawn from open FEM notes and typical US graduate finite element syllabi.