Boundary element method for spatially-periodic potential problems |
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| Authors: | Hidenori Ogata |
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| Institution: | The Department of Computer Science, The Faculty of Electro-Communications, The University of Electro-Communications, 1-5-1 Chofu-ga-Oka, Chofu 182-8585, Japan |
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| Abstract: | In this paper, we propose a boundary element method for two-dimensional potential problems with one-dimensional spatial periodicity, which have been difficult to be solved by the ordinary boundary element method. In the presented method, we reduce the potential problems with Dirichlet and Neumann boundary conditions to integral equation problems with the periodic fundamental solution of the Laplace operator and, then, obtain approximate solutions by solving linear systems given by discretizing the integral equations. Numerical examples are also included. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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