| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4642011 | Journal of Computational and Applied Mathematics | 2009 | 13 Pages |
Abstract
A priori error estimates in the H1H1- and L2L2-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 L2L2-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Daisuke Koyama,