کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642011 1341326 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 232, Issue 1, 1 October 2009, Pages 109–121
نویسندگان
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