Analysis and application of finite volume element methods to a class of partial differential equations
Shanghai Jiaotong University Northeastern University 更多选项
作者: Li HR (Li, Huanrong)
来源出版物: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷: 358 期: 1 页: 47-55 出版年: OCT 1 2009
被引频次: 0 参考文献: 13 引证关系图
摘要: The finite volume element (FVE) methods for a class of partial differential equations are discussed and analyzed in this paper. The new initial values are introduced in the finite volume element schemes, and we obtain optimal error estimates in L-p and W-1,W-p (2 <= p <= infinity) as well as some superconvergence estimates in W-1,W-p (2 <= p <= infinity). The main results in this paper perfect the theory of the finite volume element methods. (C) 2009 Elsevier Inc. All rights reserved.
文献类型: Article
语言: English
作者关键词: Finite volume element methods; Partial differential equations; Analysis; Application; Generalized Ritz-Volterra projection
通讯作者地址: Li, HR (通讯作者), Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
地址:
1. Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
电子邮件地址: lihuanrong1979@163.com
出版商: ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA IDS 号: 456CZ ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.04.052
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