| Issue |
ESAIM: M2AN
Volume 46, Number 5, September-October 2012
|
|
|---|---|---|
| Page(s) | 1147 - 1173 | |
| DOI | https://doi.org/10.1051/m2an/2011075 | |
| Published online | 13 February 2012 | |
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems
Institute for Analysis and Scientific Computing, Vienna University
of Technology, Wiedner Hauptstraße
8-10, 1040
Wien,
Austria
Markus.Aurada@tuwien.ac.at; Michael.Feischl@tuwien.ac.at;
Dirk.Praetorius@tuwien.ac.at
Received:
25
February
2011
Revised:
22
August
2011
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.
Mathematics Subject Classification: 65N30 / 65N15 / 65N38
Key words: FEM-BEM coupling / a posteriori error estimate / adaptive algorithm / convergence
© EDP Sciences, SMAI, 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.