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.

引用

页码：586 / 598

页数：13

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