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Simple a posteriori error estimators for the \(h\)-version of the boundary element method. (English) Zbl 1175.65126

The authors carry out a thorough analysis of a posteriori error estimators for the \(h\)-version of the boundary element method. They refer to Symm’s integral equation but mention that their results remain valid independent of this precise setting. They pay attention to the implementation aspects and to the computation of error estimators and work out three numerical experiments in order to study the accuracy of these estimators and the efficiency of the proposed adaptive strategy.

MSC:

65N15 Error bounds for boundary value problems involving PDEs
65N38 Boundary element methods for boundary value problems involving PDEs
65R20 Numerical methods for integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
35J25 Boundary value problems for second-order elliptic equations
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