Two Level Preconditioner of Steady Stokes-Brinkman Equation with Jumps in Coefficients

0472758 - ÚGN 2017 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Hasal, Martin
Two Level Preconditioner of Steady Stokes-Brinkman Equation with Jumps in Coefficients.
Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014). Vol. 1648. Melville, NY: AIP Publishing, 2016 - (Simos, T.; Tsitouras, C.), č. článku 360003. AIP Conference Proceedings, 1648. ISBN 978-0-7354-1287-3. ISSN 0094-243X.
[ICNAAM 2015 - International Conference on Numerical Analysis and Applied Mathematics. Rhodos (GR), 23.09.2015-29.09.2015]
Institucionální podpora: RVO:68145535
Klíčová slova: Stokes-Brinkman Equation * preconditioning * saddle point system * hydraulic conductivity * approximate inverse
Kód oboru RIV: BA - Obecná matematika
http://aip.scitation.org/doi/pdf/10.1063/1.4952136

We suggest to solve saddle point system, which arises from mixed finite element method for the presented Stokes-Brinkman model, by GMRES solver with preconditioner which leads to solving symmetric positive definite system in every GMRES iteration. This preconditioner is ill-conditioned, hence we use several types of approximate inverse as preconditioning for this symmetric positive definite system. We present numerical results for an incompressible flow problem in a domain with jumps in coefficients.
Trvalý link: http://hdl.handle.net/11104/0269988