On the Convergence of the p-Version of the Boundary Element Galerkin Method
نویسنده
چکیده
We prove convergence for the p-version of Galerkin boundary element schemes applied to various first-kind integral equations. We establish optimal error estimates for the p-version in the Hll2 and H~ll2-noiias and also derive rates of convergence in slightly stronger norms when the exact nature of the singularity of the solution is known. Our results lead to a boundary element method for two-dimensional screen problems in acoustics, which has twice the rate of convergence of the usual hversion with uniform mesh. An application to three-dimensional exterior problems is also analyzed.
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