【摘 要】
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In this talk,new finite difference schemes are presented for solving the Helmholtz equation with high wave numbers in the polar and spherical coordinates.Fi
【机 构】
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ChongqingUniversity,China
【出 处】
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2014 Workshop on Recent Advances in Computatioanal Mathemati
论文部分内容阅读
In this talk,new finite difference schemes are presented for solving the Helmholtz equation with high wave numbers in the polar and spherical coordinates.Firstly,new schemes which are pollution free are studied on some special domains.Let h denote the step size,it will be demonstrated that when solving the Helmholtz equation at large wave numbers and considering kh is fixed,the errors of the proposed new schemes decrease as h decreases even when k is increasing.Then,for general domains,coupled schemes are considered in which the pollution effect only happens in the neighborhood of zero,and it is pollution free in the rest part of the domain,too.Therefore,lots of computational cost will be reduced applying the new schemes.Numerical experiments will be shown to verify the superior of the developed methods.This is a joint work with Professor Yau Shu Wong and Doctor Jian Deng of University of Alberta.
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