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

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

2009-07-29

arxiv.org/abs/0907.5231v1

Mathematics

Numerical Analysis

Scientific paper

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.

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