Mixed Spectral and Pseudospectral Methods for a Nonlinear Strongly Damped Wave Equation in an Exterior Domain  

作　　者：Zhong-Qing Wang Rong Zhang 

机构地区：[1]Department of Mathematics,Shanghai Normal University,Shanghai,200234,P.R.China [2]Scientific Computing Key Laboratory of Shanghai Universities [3]Division of Computational Science of E-institute of Shanghai Universities

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2011年第2期255-282,共28页高等学校计算数学学报（英文版）

基　　金：supported in part by NSF of China,N.10771142;the National Basic Research Project of China,N.2005CB321701;Shuguang Project of Shanghai Education Commission,N.08SG45;Shanghai Leading Academic Discipline Project N.S30405;The Fund for E-institute of Shanghai Universities N.E03004.

摘　　要：The aim of this paper is to develop the mixed spectral and pseudospectral methods for nonlinear problems outside a disc,using Fourier and generalized Laguerre functions.As an example,we consider a nonlinear strongly damped wave equation.The mixed spectral and pseudospectral schemes are proposed.The convergence is proved.Numerical results demonstrate the efficiency of this approach.

关 键 词：Mixed spectral and pseudospectral methods exterior problems strongly damped wave equation 

分 类 号：O17[理学—数学]