Abstract
AbstractThis paper considers the exact integration of discontinuous quadratic element for boundary element analysis of two‐dimensional potential problems. It is proved by the mathematical induction that singular integral in Cauchy principal value (CPV) and hypersingular integral in Hadamard finite part (HFP) need no special treatment with the derived exact integration for discontinuous quadratic element. The evaluation of CPV and HFP without special treatment leads to an easy way to compute the potential and flux on the boundary. The differences of the recovered flux and those by solving algebraic equation at collocation points are interpolated as error indicator for adaptive boundary element analysis. Two numerical examples are given to verify the correctness of the exact integration and the feasibility of the proposed error indicator. Copyright © 2007 John Wiley & Sons, Ltd.
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