2017
DOI: 10.12783/dtcse/mcsse2016/10938
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High Order Compact Scheme and the Moving Mesh Method for Helmholtz Equation with Variable Wave Numbers

Abstract: Abstract. High order compact scheme has extensively been used for solving the Helmholtz equation on uniform mesh. Although uniform spacing is computationally advantageous for isotropic problems, the non-uniform mesh will be superior to the problems with the anisotropic properties or boundary layers. In this paper, we proposed a compact scheme on nonuniform mesh which has at least third order accuracy for the 2D Helmholtz equation with variable wave number. A novel adaptive mesh algorithm is also presented to g… Show more

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