A relation between complementary and nonconforming finite elements
Abstract
Complementary variational principles and approaches considered by Trefftz (1927) are examined and a complementary finite element method is discussed. Attention is given to questions concerning the finite elements which are admissible for the complementary variational principle, taking into account the finite element spaces contained in the Hilbert space which provides the basis for the complementary principle. The coupling of bilinear form and finite element is considered and a description is presented of nonconforming and complementary finite element methods.
- Publication:
-
Zeitschrift Angewandte Mathematik und Mechanik
- Pub Date:
- September 1977
- DOI:
- 10.1002/zamm.19770570902
- Bibcode:
- 1977ZaMM...57..501W
- Keywords:
-
- Boundary Value Problems;
- Elliptic Differential Equations;
- Finite Element Method;
- Variational Principles;
- Hilbert Space;
- Linear Equations;
- Physics (General)