Talks and Poster Presentations (with Proceedings-Entry):
C. Ortner, D. Praetorius:
"A non-conforming finite element method for convex variational problems";
Talk: Oberwolfach Workshop on Nonstandard Finite Element Methods,
Oberwolfach (invited);
08-10-2008
- 08-16-2008; in: "Nonstandard Finite Element Methods",
EMS Publishing House,
Oberwolfach Reports, Volume 5, Issue 3
(2008),
ISSN: 1660-8933.
English abstract:
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.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.4171/OWR/2008/36
Electronic version of the publication:
http://www.asc.tuwien.ac.at/~dirk/download/preprint/oberwolfach_p1ancfem.pdf
Created from the Publication Database of the Vienna University of Technology.