Short note: Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations

  • Authors:

  • Tao Zhou;Tao Tang

  • Affiliations:

  • Institute of Computational Mathematics, The Chinese Academy of Sciences, Beijing 100190, PR China;Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

In a recent work by Xiu and Shen [D. Xiu, J. Shen, Efficient stochastic Galerkin methods for random diffusion equations, J. Comput. Phys. 228 (2009) 266-281], the Galerkin methods are used to solve stochastic diffusion equations in random media, where some properties for the coefficient matrix of the resulting system are provided. They also posed an open question on the properties of the coefficient matrix. In this work, we will provide some results related to the open question.