01-11   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst Peter Stephan:

Residual-based a posteriori error estimate for hypersingular equation on surfaces

The hypersingular integral equation of the first kind equivalently describes screen and Neumann problems on an open surface piece. The paper establishes a computable upper error bound for its Galerkin approximation and so motivates adaptive mesh refining algorithms. Numerical experiments for triangular elements on a screen provide empirical evidence of the superiority of adapted over uniform mesh-refining. The numerical realisation requires the evaluation of the hypersingular integral operator at a source point; this and other details on the algorithm are included.

Mathematics Subject Classification (1991): 65N30, 65R20, 73C50

Keywords: integral equations, boundary element method, a posteriori error estimate, hypersingular equation

Mail an Jens Burmeister
[Thu Feb 19 18:56:35 2009]
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