Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00957-8
Abstract: We present asymptotic methods for solving high frequency Helmholtz equations in anisotropic media. The methods are motivated by Babich’s expansion that uses Hankel functions of the first kind to approximate the solution of high frequency… read more here.
Keywords: helmholtz equations; frequency helmholtz; high frequency; anisotropic media ... See more keywords
Is Pollution Effect of Finite Difference Schemes Avoidable for Multi-Dimensional Helmholtz Equations with High Wave Numbers?
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DOI: 10.4208/cicp.oa-2016-0057
Abstract: This paper presents an approach using the method of separation of variables applied to 2D Helmholtz equations in the Cartesian coordinate. The solution is then computed by a series solutions resulted from solving a sequence… read more here.
Keywords: helmholtz equations; pollution effect; difference schemes;