Contributions to Books:
M. Aurada, M. Feischl, M. Karkulik, D. Praetorius:
"Adaptive coupling of FEM and BEM: Simple error estimators and convergence (GAMM 2011)";
in: "ASC Report 22/2011",
issued by: Institute of 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-toimplement
error estimator for some FEM-BEM coupling which, to the best of our knowledge, 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.