Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition |
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| Authors: | Daisuke Koyama |
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| Institution: | Department of Computer Science, The University of Electro-Communications, Chofugaoka 1-5-1, Chofu, Tokyo 182-8585, Japan |
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| Abstract: | A priori error estimates in the H1- and L2-norms are established for the finite element method applied to the exterior Helmholtz problem, with modified Dirichlet-to-Neumann (MDtN) boundary condition. The error estimates include the effect of truncation of the MDtN boundary condition as well as that of discretization of the finite element method. The error estimate in the L2-norm is sharper than that obtained by the author D. Koyama, Error estimates of the DtN finite element method for the exterior Helmholtz problem, J. Comput. Appl. Math. 200 (1) (2007) 21-31] for the truncated DtN boundary condition. |
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| Keywords: | Exterior Helmholtz problem Artificial boundary condition Modified Drichlet-to-Neumann boundary condition Finite element method A priori error estimate |
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