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,
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  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.