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Optimal Strong Error Estimates for Galerkin Finite Element Methods

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2093)

Abstract

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.

Keywords

  • Strong Er
  • Galerkin Finite Element Approximation
  • Spatio-temporal Discretization
  • Mild Solution
  • Stochastic Evolution Equations

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Kruse, R. (2014). Optimal Strong Error Estimates for Galerkin Finite Element Methods. In: Strong and Weak Approximation of Semilinear Stochastic Evolution Equations. Lecture Notes in Mathematics, vol 2093. Springer, Cham. https://doi.org/10.1007/978-3-319-02231-4_3

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