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.

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.

http://www.asc.tuwien.ac.at/preprint/2010/asc06x2010.pdf

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