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The Potential Fluid Flow Problem and the Convergence Rate of the Minimal Residual Method

✍ Scribed by Jiří Maryška; Miroslav Rozložzník; Miroslav Tůma

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
812 KB
Volume
3
Category
Article
ISSN
1070-5325

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✦ Synopsis

In the paper the potential fluid flow problem in porous media using Darcy's law and the continuity equation is solved. Mixed-hybrid finite element formulation based on general trilateral prismatic elements is considered. Spectral properties of resulting symmetric indefinite system of linear equations are examined. Minimal residual method for the solution of systems with a symmetric indefinite matrix is applied. The rate of convergence and the asymptotic convergence factor which depend on the eigenvalue distribution of the system matrix are estimated.

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