Local A-Posteriori Error Estimators for the Discretization of Boundary Integral Equations

Abstract

In this paper we present local a-posteriori error estimators for the Galerkin and for the collocation discretization of boundary integral equations. These error estimators are introduced and investigated by Babuska-Rheinboldt [2] 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.