Preconditioners for Mixed FEM Solution of Stationary and Nonstationary Porous Media Flow Problems

0456054 - ÚGN 2016 RIV DE eng C - Conference Paper (international conference)
Axelsson, Owe - Blaheta, Radim - Luber, Tomáš
Preconditioners for Mixed FEM Solution of Stationary and Nonstationary Porous Media Flow Problems.
Large-Scale Scientific Computing. Berlin, Heidelberg: Springer International Publishing, 2015 - (Lirkov, I.; Margenov, S.; Waśniewski, J.), s. 3-14. LNCS, Lecture Notes in Computer Science, 9374. ISBN 978-3-319-26519-3. ISSN 0302-9743.
[LSSC 2015 - International Conference /10./. Sozopol (BG), 08.06.2015-12.06.2015]
R&D Projects: GA MŠMT ED1.1.00/02.0070
Institutional support: RVO:68145535
Keywords : darcy flow * poroelasticity * saddle point systems * preconditioners
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007/978-3-319-26520-9_1

The paper concerns porous media flow in rigid or deformable matrix. It starts with stationary Darcy flow, but the main interest is in extending Darcy problem to involve time dependent behaviour and deformation of the matrix. The considered problems are discretized by mixed FEM in space and stable time discretization methods as backward Euler and second order Radau methods. The discretization leads to time stepping methods which involve solution of a linear system within each time step. The main focus of the paper is then devoted to the construction of suitable preconditioners for these Euler and Radau systems. The paper presents also numerical experiments for illustration of efficiency of the suggested numerical algorithms.
Permanent Link: http://hdl.handle.net/11104/0256646