Energy Norm Based A Posteriori Error Estimation for Boundary Element Methods in Two Dimensions
نویسندگان
چکیده
A posteriori error estimation is an important tool for reliable and efficient Galerkin boundary element computations. We analyze the mathematical relation between the h-h/2-error estimator from [8], the two-level error estimator from [15], and the averaging error estimator from [3]. We essentially show that all of these are equivalent, and we extend the analysis of [15] to cover adaptive mesh-refinement. Therefore, all error estimators give lower bounds for the Galerkin error, whereas upper bounds depend crucially on the saturation assumption. As model example serve first-kind integral equations in 2D with weakly singular integral kernel. Dedicated to Professor Ernst P. Stephan on the occasion of his 60th birthday
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