M. Faustmann, J. Melenk:

"Local convergence of the boundary element method on polyhedral domains";

in: "ASC Report 03/2017", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2017, ISBN: 978-3-902627-10-0, 1 - 38.

The local behavior of the lowest order boundary element method on quasi-uniform meshes for Symm´s integral equation and the stabilized hyper-singular integral equation on polygo-nal/polyhedral Lipschitz domains is analyzed. We prove local a priori estimates in L2 for Symm´s integral equation and in H1 for the hypersingular equation. The local rate of convergence is limited by the local regularity of the sought solution and the sum of the global regularity and additional regularity provided by the shift theorem for a dual problem.

http://www.asc.tuwien.ac.at/preprint/2017/asc03x2017.pdf

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