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Statements

Subject Item
n2:RIV%2F60460709%3A41330%2F14%3A57170%21RIV15-TA0-41330___
rdf:type
n8:Vysledek skos:Concept
dcterms: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
dcterms:title
Domain Decomposition Adaptivity for the Richards Equation Model Domain Decomposition Adaptivity for the Richards Equation Model
skos:prefLabel
Domain Decomposition Adaptivity for the Richards Equation Model Domain Decomposition Adaptivity for the Richards Equation Model
skos:notation
RIV/60460709:41330/14:57170!RIV15-TA0-41330___
n3:aktivita
n16:S n16:P n16:I
n3:aktivity
I, P(TA02021249), S
n3:cisloPeriodika
1
n3:dodaniDat
n6:2015
n3:domaciTvurceVysledku
n14:9176802 n14:5102065 n14:5125561
n3:druhVysledku
n18:J
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
70348
n3:idVysledku
RIV/60460709:41330/14:57170
n3:jazykVysledku
n17:eng
n3:klicovaSlova
poor conditioning, slow convergence of the Picard method, highly heterogeneous material properties, multiplicative Schwarz method, diagonal scaling
n3:klicoveSlovo
n4:poor%20conditioning n4:diagonal%20scaling n4:slow%20convergence%20of%20the%20Picard%20method n4:highly%20heterogeneous%20material%20properties n4:multiplicative%20Schwarz%20method
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[74D801A5EEC0]
n3:nazevZdroje
COMPUTING
n3:obor
n11:DA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
4
n3:projekt
n15:TA02021249
n3:rokUplatneniVysledku
n6:2014
n3:svazekPeriodika
95
n3:tvurceVysledku
Kuráž, Michal Havlíček, Vojtěch Pech, Pavel Mayer, Petr
n3:wos
000338630100029
s:issn
0010-485X
s:numberOfPages
19
n5:organizacniJednotka
41330