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DOE OSTI · 21418110

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

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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.

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97 MATHEMATICS AND COMPUTINGCALCULATION METHODSDIFFERENTIAL EQUATIONSDIFFUSION EQUATIONSEQUATIONSGALERKIN-PETROV METHODITERATIVE METHODSMATRICESPARTIAL DIFFERENTIAL EQUATIONSRANDOMNESSSTOCHASTIC PROCESSES

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2010-11-01. Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations. https://doi.org/10.1016/j.jcp.2010.07.016

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