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The Potential Fluid Flow Problem and the Convergence Rate of the Minimal Residual Method
Author(s) -
Maryška Jiří,
Rozložzník Miroslav,
Tůma Miroslav
Publication year - 1996
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199611/12)3:6<525::aid-nla94>3.0.co;2-x
Subject(s) - mathematics , rate of convergence , eigenvalues and eigenvectors , residual , convergence (economics) , matrix (chemical analysis) , mathematical analysis , finite element method , flow (mathematics) , geometry , algorithm , physics , materials science , quantum mechanics , electrical engineering , composite material , thermodynamics , engineering , channel (broadcasting) , economic growth , economics
In the paper the potential fluic 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.