A Numerical Study of Blowup in the Harmonic Map Heat Flow Using the MMPDE Moving Mesh Method

作     者：Ronald D.Haynes Weizhang Huang Paul A.Zegeling 

作者机构：Department of Mathematics and StatisticsMemorial University of NewfoundlandSt.John’sNL A1C 5S7Canada Department of MathematicsUniversity of KansasLawrenceKS 66045USA Department of MathematicsUtrecht UniversityUtrechtThe Netherlands 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2013年第6卷第2期

页      面：364-383页

核心收录：

学科分类：0820[工学-石油与天然气工程] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported in part by NSF(U.S.A.)under grants DMS-0712935 and DMS-1115118 by NSERC(Canada)under discovery grant 311796 

主　　题：Heat flow harmonic map blowup moving mesh method finite difference 

摘      要：The numerical solution of the harmonic heat map flow problems with blowup in finite or infinite time is considered using an adaptive moving mesh method.A properly chosen monitor function is derived so that the moving mesh method can be used to simulate blowup and produce accurate blowup profiles which agree with formal asymptotic ***,the moving mesh method has finite time blowup when the underlying continuous problem *** situations where the continuous problem has infinite time blowup,the moving mesh method exhibits finite time blowup with a blowup time tending to infinity as the number of mesh points *** inadequacy of a uniform mesh solution is clearly demonstrated.