Contributions to Books:
M. Aurada, M. Feischl, D. Praetorius:
"Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems";
in: "ASC Report 06/2010",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2010,
ISBN: 978-3-902627-03-2.
English abstract:
We consider the symmetric FEM-BEM coupling for the numerical solution of
a (nonlinear) interface problem for the 2D Laplacian. We introduce some
new a posteriori error estimators based on the (h − h/2)-error
estimation strategy. In particular, these include the approximation
error for the boundary data, which allows to work with discrete boundary
integral operators only. Using the concept of estimator reduction, we
prove that the proposed adaptive algorithm is convergent in the sense
that it drives the underlying error estimator to zero. Numerical
experiments underline the reliability and efficiency of the considered
adaptive mesh-refinement.
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2010/asc06x2010.pdf
Created from the Publication Database of the Vienna University of Technology.