Abstract
In this paper we analyse the p-version of the boundary element method for the electric field integral equation on a plane open surface with polygonal boundary. We prove the convergence of the p-version with Raviart-Thomas parallelogram elements and derive an a priori error estimate that takes into account the strong singular behaviour of the solution at the edges and corners of the surface. The key ingredient of our analysis is the orthogonality of discrete Helmholtz decompositions in a Sobolev space of order -1/2.
| Original language | English |
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| Pages (from-to) | 595-628 |
| Number of pages | 34 |
| Journal | I M A Journal of Numerical Analysis |
| Volume | 30 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jul 2010 |