TAILORED FINITE CELL METHOD FOR SOLVING HELMHOLTZ EQUATION IN LAYERED HETEROGENEOUS MEDIUM

In this paper, we propose a tailored finite cell method for the computation of two- dimensional Helmholtz equation in layered heterogeneous medium. The idea underlying the method is to construct a numerical scheme based on a local approximation of the solution to Helmholtz equation. This provides a...

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Bibliographic Details
Published in:Journal of computational mathematics 2012-07, Vol.30 (4), p.381-391
Main Authors: Huang, Zhongyi, Yang, Xu
Format: Article
Language:English
Subjects:
Analytical estimating
Approximation
Asymptotic methods
Coefficients
Helmholtz方程
Linear transformations
Mathematical monotonicity
Meshfree methods
Uniforms
Waves
定制
层状
有限单元法
稳定性分析
计算工具
非均匀介质
非均质介质
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Summary:In this paper, we propose a tailored finite cell method for the computation of two- dimensional Helmholtz equation in layered heterogeneous medium. The idea underlying the method is to construct a numerical scheme based on a local approximation of the solution to Helmholtz equation. This provides a computational tool of achieving high accuracy with coarse mesh even for large wave number （high frequency）. The stability analysis and error estimates of this method are also proved. We present several numerical results to show its efficiency and accuracy.
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1111-m3679