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arXiv:0907.5231 [math.NA]AbstractReferencesReviewsResources

Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces

Alexei Bespalov, Norbert Heuer, Ralf Hiptmair

Published 2009-07-29Version 1

We consider the variational formulation of the electric field integral equation (EFIE) on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on div-conforming Raviart-Thomas boundary elements (BEM) of locally variable polynomial degree on shape-regular surface meshes. We establish asymptotic quasi-optimality of Galerkin solutions on sufficiently fine meshes or for sufficiently high polynomial degree.

Categories: math.NA
Subjects: 65N38, 65N12, 78M15, 65N38
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