Contributions to Books:
C. Ortner, D. Praetorius:
"A non-conforming finite element method for convex variational problems";
in: "ASC Report 24/2008",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
We consider energy minimization problems for which the Lavrentiev
gap phenomenon occurs. In this case, usual conforming finite element
schemes cannot converge to the "correct" limit. The purpose of this
work is to show that, by contrast, the non-conforming Crouzeix-Raviart
finite element method can be employed for a successful discretization.
Furthermore, we introduce an adaptive CR-FEM which allows the
numerical verification of Lavrentiev gaps.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.