# Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

Markus Aurada; Michael Feischl; Dirk Praetorius

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

- Volume: 46, Issue: 5, page 1147-1173
- ISSN: 0764-583X

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topAurada, Markus, Feischl, Michael, and Praetorius, Dirk. "Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems." ESAIM: Mathematical Modelling and Numerical Analysis 46.5 (2012): 1147-1173. <http://eudml.org/doc/276389>.

@article{Aurada2012,

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.},

author = {Aurada, Markus, Feischl, Michael, Praetorius, Dirk},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {FEM-BEM coupling; a posteriori error estimate; adaptive algorithm; convergence; a posteriori error estimate; symmetric coupling; (nonlinear) interface problem; 2D Laplacian; lowest-order Galerkin scheme; finite element method; boundary element method},

language = {eng},

month = {2},

number = {5},

pages = {1147-1173},

publisher = {EDP Sciences},

title = {Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems},

url = {http://eudml.org/doc/276389},

volume = {46},

year = {2012},

}

TY - JOUR

AU - Aurada, Markus

AU - Feischl, Michael

AU - Praetorius, Dirk

TI - Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2012/2//

PB - EDP Sciences

VL - 46

IS - 5

SP - 1147

EP - 1173

AB - 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.

LA - eng

KW - FEM-BEM coupling; a posteriori error estimate; adaptive algorithm; convergence; a posteriori error estimate; symmetric coupling; (nonlinear) interface problem; 2D Laplacian; lowest-order Galerkin scheme; finite element method; boundary element method

UR - http://eudml.org/doc/276389

ER -

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