Solution of Augmented Systems from a Mixed-Hybrid Finite Element Discretization of the Potential Fluid Flow Problem: Asymptotic Rates of Convergence

0404007 - UIVT-O 20000145 RIV SK eng C - Conference Paper (international conference)
Maryška, Jiří - Rozložník, Miroslav - Tůma, Miroslav
Solution of Augmented Systems from a Mixed-Hybrid Finite Element Discretization of the Potential Fluid Flow Problem: Asymptotic Rates of Convergence.
ALGORITMY 2000. Bratislava: Vydavateĺstvo STU, 2000 - (Handlovičová, A.; Komorníková, M.; Mikula, K.; Ševčovič, D.), s. 100-109. ISBN 80-227-1391-0.
[ALGORITMY 2000. Conference on Scientific Computing /15./. Podbanské (SK), 10.09.2000-15.09.2000]
R&D Projects: GA ČR GA201/98/P108; GA ČR GA101/00/1035; GA ČR GA201/00/0080
Institutional research plan: AV0Z1030915
Keywords : potential fluid flow problem * mixed-hybrid finite element approximation * symmetric indefinite linear systems * iterative solution * Schur complement system * null-space method * conjugate gradient-type methods * asymptotic rate of convergence
Subject RIV: BA - General Mathematics

Several approaches for solving linear systems from a mixed hybrid finite element discretization of the Darcy's law and the continuity equation describing the potential fluid flow in porous media. Spectral properties of resulting symmetric but indefinite systems in terms of a mesh size parameter. Asymptotic rate of convergence of iterative solvers applied either to whole indefinite systems, to successive Schur complement systems or to systems projected onto certain null-space is estimated.
Permanent Link: http://hdl.handle.net/11104/0124288