Contributions to Books:

M. Feischl, M. Page, D. Praetorius:
"Convergence of adaptive FEM for elliptic obstacle problems";
in: "ASC Report 17/2011", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9.

English abstract:
We treat the convergence of adaptive lowest-order FEM for some elliptic obstacle problem with affine obstacle. For error
estimation, we use a residual error estimator which is an extended version of the estimator from [2] and additionally controls
the data oscillations. The main result states that an appropriately weighted sum of energy error, edge residuals, and data
oscillations satisfies a contraction property that leads to convergence. In addition, we discuss the generalization to the case of
inhomogeneous Dirichlet data and non-affine obstacles 2 H2(
) for which similar results are obtained.

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.