Schur Complement Systems in the Mixed Hybrid Finite Element Approximation of the Potential Fluid Flow Problem

0403488 - UIVT-O 20000011 RIV US eng J - Článek v odborném periodiku
Maryška, Jiří - Rozložník, Miroslav - Tůma, Miroslav
Schur Complement Systems in the Mixed Hybrid Finite Element Approximation of the Potential Fluid Flow Problem.
SIAM Journal on Scientific Computing. Roč. 22, č. 2 (2000), s. 704-723. ISSN 1064-8275. E-ISSN 1095-7197
Grant CEP: GA ČR GA201/98/P108; GA AV ČR IAA2030706
Výzkumný záměr: AV0Z1030915
Klíčová slova: sparse linear systems * finite element matrices * preconditioned conjugate residuals * potential fluid flow problem * indefinite linear systems
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.421, rok: 2000

The mixed-hybrid finite element discretization of Darcy's law continuity equation describing the potential fluid flow problem in porous media leads to a symetric idefinite linear system for the pressure and the velocity vector components. As a method of solution the reduction to three Schur complement systems based on successive block elimination is considered. Theoretical results are illustrated by numerical experiments.
Trvalý link: http://hdl.handle.net/11104/0123792