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High Order Time Discretization for DAEs with Efficient Block Preconditioners
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SYSNO ASEP 0482341 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title High Order Time Discretization for DAEs with Efficient Block Preconditioners Author(s) Blaheta, Radim (UGN-S) RID, SAI, ORCID
Axelsson, Owe (UGN-S) RID
Luber, Tomáš (UGN-S)Number of authors 3 Article number UNSP 340002-1 Source Title Proceedings of the international conference on numerical analysis and applied mathematics 2016 (ICNAAM-2016). - Melville : American Institute of Physics, 2017 - ISSN 0094-243X - ISBN 978-0-7354-1538-6 Number of pages 4 s. Publication form Online - E Action International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) Event date 19.09.2016 - 25.09.2016 VEvent location Rhodes Country GR - Greece Event type WRD Language eng - English Country US - United States Keywords time dependent partial differential equations (PDEs) ; parallelizable preconditioners ; two step Radau time integration method Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects LD15105 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 UT WOS 000410159800336 EID SCOPUS 85026648230 DOI 10.1063/1.4992509 Annotation The contribution considers parabolic PDEs describing uniphysics problems like nonstationary Darcy flow and their
extension to multiphysics like poroelasticity problems. Discretization is assumed by mixed and standard/mixed finite elements
in space and stable higher order methods in time. Parallelizable preconditioners for iterative solution of linear systems arising
within the time steps are suggested and analysed. The analysis shows that the preconditioned systems are diagonalizable with very
localized spectra. It indicates possible very fast convergence of Krylov type methods, which was also confirmed by numerical
experiments with two step Radau time integration method.Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2018 Electronic address http://aip.scitation.org/doi/abs/10.1063/1.4992509
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