Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics

doi:10.1061/(ASCE)EM.1943-7889.0001145

CORC > 兰州理工大学 > 兰州理工大学

	Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics
	Zhou, Feng-Xi; Ma, Qiang; Gao, Bei-Bei
刊名	Journal of Engineering Mechanics
	2016-11-01
卷号	142 期号:11
关键词	Elastic waves Electromagnetic wave absorption Finite difference method Finite element method Galerkin methods Numerical methods Wave equations Absorbing boundaries Displacement formulation Finite element approximations Finite element time domains Higher derivatives Perfectly Matched Layer Space discretizations Standard finite element
ISSN号	07339399
DOI	10.1061/(ASCE)EM.1943-7889.0001145
英文摘要	The perfectly matched layer (PML) is a highly efficient absorbing boundary used for the numerical modeling of an elastic wave equation on an unbounded domain. In this work, the authors are concerned with a second-order unsplit PML for transient elastodymanic problems in a semi-plane medium with finite-element approximations. First, based on the concept of stretched coordinates, an efficient unsplit PML formulation is proposed without higher derivatives. Then a finite-element time-domain scheme of a second-order PML in a displacement formulation is developed, in which the Galerkin method is used in space discretization and a Newmark-type scheme is employed for time stepping. Inside the absorbing layer, only one auxiliary vector is required. Hence, the scheme is cheap to implement and easily coupled with standard finite-element methods. Finally, the accuracy and efficiency of the present unsplit PML is demonstrated in numerical examples with a finite-element time-domain scheme. © 2016 American Society of Civil Engineers.
WOS研究方向	Engineering
语种	英语
出版者	American Society of Civil Engineers (ASCE)
WOS记录号	WOS:000386362500005
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/112537]
专题	兰州理工大学
作者单位	School of Civil Engineering, Lanzhou Univ. of Technology, Lanzhou, Gansu; 730050, China
推荐引用方式 GB/T 7714	Zhou, Feng-Xi,Ma, Qiang,Gao, Bei-Bei. Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics[J]. Journal of Engineering Mechanics,2016,142(11).
APA	Zhou, Feng-Xi,Ma, Qiang,&Gao, Bei-Bei.(2016).Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics.Journal of Engineering Mechanics,142(11).
MLA	Zhou, Feng-Xi,et al."Efficient unsplit perfectly matched layers for finite-element time-domain modeling of elastodynamics".Journal of Engineering Mechanics 142.11(2016).