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Adaptive finite element method for parabolic equations with Dirac measure

文献类型：期刊论文

作者Gong, Wei1; Liu, Huipo2; Yan, Ningning3
刊名COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
出版日期2018
卷号328页码:217-241
关键词Parabolic equation Dirac measure Adaptive finite element method Space-time discretization A posteriori error estimates
ISSN号0045-7825
DOI10.1016/j.cma.2017.08.051
英文摘要In this paper we study the adaptive finite element method for parabolic equations with Dirac measure. Two kinds of problems with separate measure data in time and measure data in space are considered. It is well known that the solutions of such kind of problems may exhibit lower regularity due to the existence of the Dirac measure, and thus fit to adaptive FEM for space discretization and variable time steps for time discretization. For both cases we use piecewise linear and continuous finite elements for the space discretization and backward Euler scheme, or equivalently piecewise constant discontinuous Galerkin method, for the time discretization, the a posteriori error estimates based on energy and L-2 norms for the fully discrete problems are then derived to guide the adaptive procedure. Numerical results are provided at the end of the paper to support our theoretical findings. (C) 2017 Elsevier B.V. All rights reserved.
资助项目National Natural Science Foundation of China[11001027] ; National Natural Science Foundation of China[11571356] ; National Natural Science Foundation of China[11671391] ; National Natural Science Foundation of China[11771053] ; National Natural Science Foundation of China[91530204] ; National Basic Research Program[2011CB309705] ; National Basic Research Program[2012CB821204]
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000416218500010
出版者ELSEVIER SCIENCE SA
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/124]  
专题国家数学与交叉科学中心
系统科学研究所
计算数学与科学工程计算研究所
通讯作者Gong, Wei
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, NCMIS,LSEC, Beijing 100190, Peoples R China
2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, NCMIS,LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Gong, Wei,Liu, Huipo,Yan, Ningning. Adaptive finite element method for parabolic equations with Dirac measure[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2018,328:217-241.
APA Gong, Wei,Liu, Huipo,&Yan, Ningning.(2018).Adaptive finite element method for parabolic equations with Dirac measure.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,328,217-241.
MLA Gong, Wei,et al."Adaptive finite element method for parabolic equations with Dirac measure".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 328(2018):217-241.

入库方式： OAI收割

来源：数学与系统科学研究院

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