Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces
نویسندگان
چکیده
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 divΓ-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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ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 48 شماره
صفحات -
تاریخ انتشار 2010