About: Domain Decomposition Adaptivity for the Richards Equation Model

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Description	This paper presents a study on efficient and economical domain decomposition adaptivity for Richards equation problems.Many real world applications of the Richards equation model typically involve solving systems of linear equations of huge dimensions. Multi-thread methods are therefore often preferred in order to reduce the required computation time.Multi-thread (parallel) execution is typically achieved by domain decomposition methods. In the case of non-homogeneous materials, the problem conditioning can be significantly improved if the computational domain is split efficiently, as each subdomain can cover only a certain material set within some defined parameter range. For linear problems, e.g. heat conduction, it is very easy to split the domain in this way. A problem arises for the nonlinear Richards equation, where the values of the constitutive functions, even over a homogeneous material, can vary within several orders of magnitude, see e.g.~\cite{mojeamc}. If the Rothe method is This paper presents a study on efficient and economical domain decomposition adaptivity for Richards equation problems.Many real world applications of the Richards equation model typically involve solving systems of linear equations of huge dimensions. Multi-thread methods are therefore often preferred in order to reduce the required computation time.Multi-thread (parallel) execution is typically achieved by domain decomposition methods. In the case of non-homogeneous materials, the problem conditioning can be significantly improved if the computational domain is split efficiently, as each subdomain can cover only a certain material set within some defined parameter range. For linear problems, e.g. heat conduction, it is very easy to split the domain in this way. A problem arises for the nonlinear Richards equation, where the values of the constitutive functions, even over a homogeneous material, can vary within several orders of magnitude, see e.g.~\cite{mojeamc}. If the Rothe method is (en)
Title	Domain Decomposition Adaptivity for the Richards Equation Model Domain Decomposition Adaptivity for the Richards Equation Model (en)
skos:prefLabel	Domain Decomposition Adaptivity for the Richards Equation Model Domain Decomposition Adaptivity for the Richards Equation Model (en)
skos:notation	RIV/60460709:41330/14:57170!RIV15-TA0-41330___
http://linked.open...avai/riv/aktivita	I P S
http://linked.open...avai/riv/aktivity	I, P(TA02021249), S
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Pech, Pavel Kuráž, Michal Havlíček, Vojtěch
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Česká zemědělská univerzita v Praze / Fakulta životního prostředí
http://linked.open...dnocenehoVysledku	70348
http://linked.open...ai/riv/idVysledku	RIV/60460709:41330/14:57170
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	poor conditioning, slow convergence of the Picard method, highly heterogeneous material properties, multiplicative Schwarz method, diagonal scaling (en)
http://linked.open.../riv/klicoveSlovo	diagonal scaling highly heterogeneous material properties multiplicative Schwarz method poor conditioning slow convergence of the Picard method
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[74D801A5EEC0]
http://linked.open...i/riv/nazevZdroje	COMPUTING
http://linked.open...in/vavai/riv/obor	DA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Sustainable Utilization of the Ground Water in Czech Republic
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	95
http://linked.open...iv/tvurceVysledku	Pech, Pavel Havlíček, Vojtěch Kuráž, Michal Mayer, Petr
http://linked.open...ain/vavai/riv/wos	000338630100029
issn	0010-485X
number of pages	19 (xsd:int)
http://localhost/t...ganizacniJednotka	41330

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