标题:A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems
作者:Yuan, Long; Liu, Yang
作者机构:[Yuan, Long] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.; [Liu, Yang] Inst Appl Phys & Computat Ma 更多
通讯作者:Yuan, L
通讯作者地址:[Yuan, L]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.
来源:COMPUTATIONAL & APPLIED MATHEMATICS
出版年:2019
卷:38
期:3
DOI:10.1007/s40314-019-0900-y
关键词:Elastic waves; Nonhomogeneous; Local spectral element; Plane wave; discontinuous Galerkin; Plane wave basis functions; Error estimates;; 65N30; 65N55
摘要:In this paper, we develop a plane wave discontinuous Galerkin method combined with local spectral element method for the elastic wave propagation in two and three space dimensions. We derive the error estimates of the approximation solutions in the mesh-dependent norm and the mesh-independent norm. Some dependence of the error bounds on the orders q of local spectral elements and the number p of plane wave propagation directions is given. Numerical results assess the validity of the theoretical results and indicate that the resulting approximate solutions generated by the PWDG-LSFE possess high accuracy.
收录类别:SCOPUS;SCIE
Scopus被引频次:1
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85065971968&doi=10.1007%2fs40314-019-0900-y&partnerID=40&md5=ba4326cb948fdacc0a29143a92c1b627
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