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,
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.
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.