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Talks and Poster Presentations (without Proceedings-Entry):

M. Feischl, M. Page, D. Praetorius:
"Convergence of Adaptive FEM for Elliptic Obstacle Problems";
Poster: SimTech 2011 Conference, Stuttgart; 06-14-2011 - 06-17-2011.

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 [Braess, Carstensen, Hoppe '07] that additionally controls the data oscillations. Our 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 $\chi \in H^2(\Omega)$ and obtain similar results.

Keywords:
Adaptive Finite Element Method, Variational Inequalities, Convergence Analysis, Elliptic Obstacle Problems

Electronic version of the publication:

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