Abstract
We consider the variational formulation of the electric field integral equation on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on divΓ-conforming Raviart-Thomas boundary elements 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 degrees.
Original language | English |
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Pages (from-to) | 1518-1529 |
Number of pages | 12 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 48 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jan 2010 |