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Analysis and application of finite volume element methods to a class of partial differential equations
Shanghai Jiaotong University Northeastern University ¸ü¶àÑ¡Ïî
×÷Õß: Li HR (Li, Huanrong)
À´Ô´³ö°æÎï: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS ¾í: 358 ÆÚ: 1 Ò³: 47-55 ³ö°æÄê: OCT 1 2009
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ÕªÒª: 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.
ÎÄÏ×ÀàÐÍ: Article
ÓïÑÔ: English
×÷Õ߹ؼü´Ê: Finite volume element methods; Partial differential equations; Analysis; Application; Generalized Ritz-Volterra projection
ͨѶ×÷ÕßµØÖ·: Li, HR (ͨѶ×÷Õß), Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
µØÖ·:
1. Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
µç×ÓÓʼþµØÖ·: lihuanrong1979@163.com
³ö°æÉÌ: ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA IDS ºÅ: 456CZ ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.04.052