High Order Time Discretization for DAEs with Efficient Block Preconditioners

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482341" target="_blank" >RIV/68145535:_____/17:00482341 - isvavai.cz</a>
Result on the web
<a href="http://aip.scitation.org/doi/abs/10.1063/1.4992509" target="_blank" >http://aip.scitation.org/doi/abs/10.1063/1.4992509</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4992509" target="_blank" >10.1063/1.4992509</a>

Result language
angličtina
Original language name
High Order Time Discretization for DAEs with Efficient Block Preconditioners
Original language description
The contribution considers parabolic PDEs describing uniphysics problems like nonstationary Darcy flow and theirnextension to multiphysics like poroelasticity problems. Discretization is assumed by mixed and standard/mixed finite elementsnin space and stable higher order methods in time. Parallelizable preconditioners for iterative solution of linear systems arisingnwithin the time steps are suggested and analysed. The analysis shows that the preconditioned systems are diagonalizable with verynlocalized spectra. It indicates possible very fast convergence of Krylov type methods, which was also confirmed by numericalnexperiments with two step Radau time integration method.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the international conference on numerical analysis and applied mathematics 2016 (ICNAAM-2016)
ISBN
978-0-7354-1538-6
ISSN
0094-243X
e-ISSN
—
Number of pages
4
Pages from-to
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Publisher name
American Institute of Physics
Place of publication
Melville
Event location
Rhodes
Event date
Sep 19, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000410159800336

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