Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:232

Article

Koyama, Daisuke

关键词: Exterior Helmholtz problem;    Artificial boundary condition;    Modified Drichlet-to-Neumann boundary condition;    Finite element method;    A priori error estimate;   

DOI  :  10.1016/j.cam.2008.10.034

来源: Elsevier

【 摘 要 】

A priori error estimates in the H(1)- and L(2)-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 L(2)-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. (C) 2008 Elsevier B.V. All rights reserved.

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