Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains
文献类型：期刊论文
| 作者 | Ma, Jingtang |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2007-03-01 |
| 卷号 | 186期号:1页码:598-609 |
| 关键词 | partial Volterra integro-differential equations unbounded spatial domain artificial boundary conditions discontinuous Galerkin time-stepping methods finite element methods |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.08.004 |
| 英文摘要 | The precise and effective way for solving a partial Volterra integro-differential equation on unbounded spatial domain is to derive artificial boundary conditions for some feasible and prescribed computational domain. Thus the unsolvable problem on unbounded domain is converted to the computational problem on bounded domain, which is often called reduced problem. A feasible numerical method will then be applied to solve the reduced problem with the artificial boundary conditions which often exhibit "nonlocal" properties. In this paper, the finite element method for the spatial space and the recently developed discontinuous Galerkin time-stepping method for the temporal space are considered to solve the reduced problem. The convergence rate, explicitly with those interesting parameters: spatial grid-size h, temporal mesh-size k, the location of the artificial boundary d, and the truncation number M, is obtained. This paper is the first theoretical analysis of the numerical methods for Volterra integro-differential equations on unbounded spatial domains. (c) 2006 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000245999000063 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4179]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, Jingtang |
| 作者单位 | Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Jingtang. Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,186(1):598-609. |
| APA | Ma, Jingtang.(2007).Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains.APPLIED MATHEMATICS AND COMPUTATION,186(1),598-609. |
| MLA | Ma, Jingtang."Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains".APPLIED MATHEMATICS AND COMPUTATION 186.1(2007):598-609. |
入库方式： OAI收割
来源：数学与系统科学研究院
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