96-8   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Birgit Faermann:

Local a-posteriori error estimators for the Galerkin discretization of boundary integral equations

In this paper we present local a-posteriori error estimators for the Galerkin discretization of boundary integral equations. These error estimators are introduced and investigated by Babuska-Rheinboldt for finite element methods. We transfer them from finite element methods onto boundary element methods and show that they are reliable and efficient for a wide class of integral operators under relatively weak assumptions. These local error estimators base on the computable residual and can be used for controlling of adaptive mesh refinement.

Bibliographical note: Numerische Mathematik 79, 1998, pp. 43-76.


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