Optimal Strong Error Estimates for Galerkin Finite Element Methods

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• 作者：Raphael Kruse (13)
  
• 刊名：Lecture Notes in Mathematics
• 出版年：2014
• 出版时间：2014
• 年：2014
• 卷：2093
• 期：1
• 页码：85-108
• 全文大小：323KB
• 作者单位：Raphael Kruse (13)
  
  13. Department of Mathematics, Bielefeld University, Bielefeld, Germany
  
• ISSN：1617-9692

文摘

This chapter contains our analysis of the strong error of convergence for Galerkin finite element approximation of stochastic evolution equation and is a slightly modified version of Kruse (IMA J. Numer. Anal., 2013). Our two main results in Sects. 3.4 and 3.6 are concerned with the error of the spatially semidiscrete approximation and of the spatio-temporal discretization of the mild solution.