Contributions to Books:
C. Ortner, D. Praetorius:
"On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems";
in: "ASC Report 25/2008",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2008,
ISBN: 978-3-902627-01-8.
English abstract:
We formulate and analyze an adaptive non-conforming finite-element
method for the solution of convex variational problems. The class of
minimization problems we admit includes highly singular problems for
which no Euler-Lagrange equation (or inequality) is available. As a
consequence, our arguments only use the structure of the energy
functional. We are nevertheless able to prove convergence of an adaptive
algorithm, despite using refinement indicators which are not reliable
error indicators.
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2008/asc25x2008.pdf
Created from the Publication Database of the Vienna University of Technology.