About: Solving the nonstationary Richards equation with adaptive hp-FEM

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper examines the potential of the adaptive hp-FEM method for the numerical solution of timedependent variably saturated Darcian flow problems described by the Richards equation. The method is illustrated on three model problems: a benchmark with known exact solution, groundwater seepage into a dry lysimeter box with time-dependent boundary conditions, and capillary barrier behavior under an intense infiltration. In the second part of the paper we present the weak formulation of the Richards equation for the Newton’s and Picard’s methods, give a brief overview of adaptive hp-FEM with emphasis on aspects that are usually not discussed in the literature, and we briefly introduce the open source adaptive hp-FEM library HERMES that was used to generate numerical results for this paper. All computations that we present are easily reproducible. This paper examines the potential of the adaptive hp-FEM method for the numerical solution of timedependent variably saturated Darcian flow problems described by the Richards equation. The method is illustrated on three model problems: a benchmark with known exact solution, groundwater seepage into a dry lysimeter box with time-dependent boundary conditions, and capillary barrier behavior under an intense infiltration. In the second part of the paper we present the weak formulation of the Richards equation for the Newton’s and Picard’s methods, give a brief overview of adaptive hp-FEM with emphasis on aspects that are usually not discussed in the literature, and we briefly introduce the open source adaptive hp-FEM library HERMES that was used to generate numerical results for this paper. All computations that we present are easily reproducible. (en)
Title	Solving the nonstationary Richards equation with adaptive hp-FEM Solving the nonstationary Richards equation with adaptive hp-FEM (en)
skos:prefLabel	Solving the nonstationary Richards equation with adaptive hp-FEM Solving the nonstationary Richards equation with adaptive hp-FEM (en)
skos:notation	RIV/60460709:41330/11:51453!RIV12-MSM-41330___
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Kuráž, Michal
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	230579
http://linked.open...ai/riv/idVysledku	RIV/60460709:41330/11:51453
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Richards equation, Adaptive hp-FEM, Dynamically-changing meshes, Reproducible research (en)
http://linked.open.../riv/klicoveSlovo	Adaptive hp-FEM Dynamically-changing meshes Reproducible research Richards equation
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[AA94EAC11180]
http://linked.open...i/riv/nazevZdroje	ADVANCES IN WATER RESOURCES
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	34
http://linked.open...iv/tvurceVysledku	Kuráž, Michal Solin, Pavel
http://linked.open...ain/vavai/riv/wos	000295653700002
issn	0309-1708
number of pages	20 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.advwatres.2011.04.020
http://localhost/t...ganizacniJednotka	41330

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