Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs (Q2379238)
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| Language | Label | Description | Also known as |
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| English | Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs |
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Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs (English)
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19 March 2010
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The paper is devoted to the numerical solution of Symm's integral equation on a smooth open arc, using a fully discrete Galerkin method based on trigonometric polynomials. The authors propose a preconditioned fast method for solving the corresponding linear systems of optimal convergence order and almost linear computational complexity. The method is used to solve the related Dirichlet problem for the Laplacian in the exterior of an open arc, employing a numerical integration algorithm to compute the single-layer potential.
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Dirichlet problem
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open arc
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Symm's integral equation
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fully discrete Galerkin method
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trigonometric polynomials
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preconditioning
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Laplace equations
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boundary element method
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convergence
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computational complexity
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