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

Tao Zhou; Tao TANG

doi:10.1016/j.jcp.2010.07.016

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

Tao Zhou, Tao TANG^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	8225-8230
Number of pages	6
Journal	Journal of Computational Physics
Volume	229
Issue number	22
DOIs	https://doi.org/10.1016/j.jcp.2010.07.016
Publication status	Published - Nov 2010

Scopus Subject Areas

Numerical Analysis
Modelling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

User-Defined Keywords

Galerkin methods
Matrix properties
Stochastic diffusion equations

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10.1016/j.jcp.2010.07.016

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title = "Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations",

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.",

keywords = "Galerkin methods, Matrix properties, Stochastic diffusion equations",

author = "Tao Zhou and Tao TANG",

note = "This research is supported in part by Hong Kong Research Grants Council and the FRG grants of Hong Kong Baptist University. Tang{\textquoteright}s research was also supported by Collaborative Research Fund of National Science Foundation of China (NSFC) under Grant No. G10729101. ",

year = "2010",

month = nov,

doi = "10.1016/j.jcp.2010.07.016",

language = "English",

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AU - Zhou, Tao

AU - TANG, Tao

N1 - This research is supported in part by Hong Kong Research Grants Council and the FRG grants of Hong Kong Baptist University. Tang’s research was also supported by Collaborative Research Fund of National Science Foundation of China (NSFC) under Grant No. G10729101.

PY - 2010/11

Y1 - 2010/11

N2 - 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.

AB - 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.

KW - Galerkin methods

KW - Matrix properties

KW - Stochastic diffusion equations

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DO - 10.1016/j.jcp.2010.07.016

M3 - Journal article

AN - SCOPUS:77956406790

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VL - 229

SP - 8225

EP - 8230

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 22

ER -

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

Abstract

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