Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 4 : pp. 381–391
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1111-m3679
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 4 : pp. 381–391
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Tailored finite cell method Helmholtz equation Heterogeneous media Sommerfeld condition.