Year: 2019
Author: Zhentian Huang, Dong Lei, Yuan Wang
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 2 : pp. 518–534
Abstract
This paper presents a modified moving least square (MMLS) collocation method for solving wave equations. In contrast to the conventional moving least square (CMLS) method, this method modifies how discretization of computational points is done and decreases the number of base functions to simplify shape functions while solving high-dimensional problems. In addition, the proposed method maintains the independence of discretization for different dimensions, which is convenient to deal with computational domains in a simple manner while retaining a local character. The above improvement results in this approximation significantly saving calculation time while preserving accuracy of the solution. The numerical simulations show that MMLS collocation method has good stability and accuracy in analyzing high-dimensional wave propagation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2018-0029
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 2 : pp. 518–534
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: MMLS collocation method wave propagation base function.