Some estimates for resolvent operators under the discretization by finite element method

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• 作者：R. Figueroa-López ; G. Lozada-Cruz
• 关键词：Parabolic equations ; Finite elements method ; Resolvent operator approximation ; 35K15 ; 65M60 ; 47A58
• 刊名：Computational and Applied Mathematics
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：34
• 期：3
• 页码：1105-1116
• 全文大小：535 KB
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• 作者单位：R. Figueroa-López (1)
  G. Lozada-Cruz (1)
  
  1. Department of Mathematics, Universidade Estadual Paulista (UNESP), Rua Cristóv?o Colombo, 2265, S?o José do Rio Preto, SP, CEP 15054-000, Brazil
  
• 刊物主题：Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science;
• 出版者：Springer Basel
• ISSN：1807-0302

文摘

This paper is devoted to obtain some norm estimates for the difference between the two resolvent operators under the discretization of the domain \(\varOmega \subset \mathbb {R}^n\), \(n\geqslant 2\), by finite element method. Keywords Parabolic equations Finite elements method Resolvent operator approximation