A discrete Galerkin method for a hyperslngular boundary integral equation |
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Authors: | CHIEN, DAVID DA-KWUN ATKINSON, KENDALL |
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Affiliation: | Mathematics Program, CSU San Marcos, San Marcos CA 92096, USA Mathematics Department, University of Iowa Iowa City, IA 52242, USA |
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Abstract: | Received on 14 August 1995. Revised on 20 August 1996. Consider solving the interior Neumann problem with D a simply-connected planar region and S=D a smooth curve.A double-layer potential is used to represent the solution,and it leads to the problem of solving a hypersingular integralequation. This integral equation is reformulated as a Cauchysingular integral equation. A discrete Galerkin method withtrigonometric polynomials is then given for its solution. Anerror analysis is given, and numerical examples complete thepaper. |
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