Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients  

作　　者：Guy Baruch Gadi Fibich Semyon Tsynkov Eli Turkel 

机构地区：[1]School of Mathematical Sciences,Tel Aviv University,Ramat Aviv,Tel Aviv 69978,Israel [2]Department of Mathematics,North Carolina State University,Box 8205,Raleigh,NC 27695,USA

出　　处：《Communications in Computational Physics》2009年第2期442-455,共14页计算物理通讯（英文）

基　　金：The research of S.Tsynkovwas supported by the United States National Science Founda-tion(NSF);Grant No.DMS-0509695;the United States Air Force Office of Scientific Research(AFOSR);Grant No.FA9550-07-1-0170.

摘　　要：We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system.We demand that the scheme be higher order even when the coefficients are discontinuous.We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the electromagnetic or acoustic applications.

关 键 词：Helmholtz equation Maxwell’s equations finite volume approximation compact schemes high order methods material discontinuities 

分 类 号：O17[理学—数学]