Author(s)

Jan H. Brandts

Abstract

In recent papers [2, 6] superconvergence results for Galerkin approxi- mations for integral equations of the first kind have become available m the case that piecewise polynomial spaces are used as test and trial space. The superconvergence considered in those papers is based on the approach of Richter [5] for equations of the second kind. In this paper we will discuss this approach and compare it to superconver- gence based on Sloan iteration [4, 7]. Furthermore, we will construct a posteriori error estimators based on the superconvergence and test them numerically, also with respect to adaptive refinement of the mesh. 1 Introduction 1.1 Short overview Following the results obtained in th

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