Contributions to Books:
M. Aurada, M. Feischl, M. Karkulik, D. Praetorius:
"Adaptive coupling of FEM and BEM: Simple error estimators and convergence (AfriCOMP11)";
in: "ASC Report 35/2010",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
A posteriori error estimators and adaptive mesh-refinement have
themselves proven to be important tools for scientific computing.
For error control in finite element methods (FEM), there is a
broad variety of a~posteriori error estimators available, and
convergence as well as optimality of adaptive FEM is well-studied
in the literature. This is, however, in sharp contrast to the boundary
element method (BEM) and to the coupling of FEM and BEM. In our
contribution, we present an easy-to-implement error estimator for
some FEM-BEM coupling which, to the best of our know\-ledge, has
not been proposed in the literature before. The derived mesh-refining
algorithm provides the first adaptive coupling procedure which is
mathematically proven to converge.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.