Analysis of one-dimensional Helmholtz equation with PML boundary

被引：3
|
作者：
Ha, Taeyoung [1 ]
Kim, Imbunm [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 206卷 / 01期
关键词：
one-dimensional Helmholtz equation; perfect matched layered boundary;
D O I：
10.1016/j.cam.2006.10.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the linear conforming finite element method for the one-dimensional Berenger's PML boundary is investigated and well-posedness of the given equation is discussed. Furthermore, optimal error estimates and stability in the L-2 or H-1-norm are derived under the assumption that h, h(2)omega(2) and h(2)omega(3) are sufficiently small, where h is the mesh size and omega denotes a fixed frequency. Numerical examples are presented to validate the theoretical error bounds. (c) 2006 Elsevier B.V. All rights reserved.
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页码：586 / 598
页数：13
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