About: Instabilities of mixed finite elements for Richards' equation

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Description	Richards' equation is a widely used model of partially saturated flow in a porous medium. In order to obtain conservative velocity field several authors proposed to use mixed or mixed-hybrid schemes to solve the equation. In this paper, we shall analyze the mixed scheme on 1D domain and we show that it violates the discrete maximum principle which leads to catastrophic oscillations in the solution. Richards' equation is a widely used model of partially saturated flow in a porous medium. In order to obtain conservative velocity field several authors proposed to use mixed or mixed-hybrid schemes to solve the equation. In this paper, we shall analyze the mixed scheme on 1D domain and we show that it violates the discrete maximum principle which leads to catastrophic oscillations in the solution. (en)
Title	Instabilities of mixed finite elements for Richards' equation Instabilities of mixed finite elements for Richards' equation (en)
skos:prefLabel	Instabilities of mixed finite elements for Richards' equation Instabilities of mixed finite elements for Richards' equation (en)
skos:notation	RIV/46747885:24220/10:#0001584!RIV11-MSM-24220___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1M0554)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Březina, Jan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Technická univerzita v Liberci / Fakulta mechatroniky, informatiky a mezioborových studií
http://linked.open...dnocenehoVysledku	264200
http://linked.open...ai/riv/idVysledku	RIV/46747885:24220/10:#0001584
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Richrds eqaution, discrete maximum principle (en)
http://linked.open.../riv/klicoveSlovo	Richrds eqaution discrete maximum principle
http://linked.open...ontrolniKodProRIV	[CA929398BA5F]
http://linked.open...v/mistoKonaniAkce	Horní Maxov
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Programs and Algorithms of Numerical Mathematics 15
http://linked.open...in/vavai/riv/obor	BK
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced Remedial Technologies and Processes
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Březina, Jan
http://linked.open...vavai/riv/typAkce	CST - Celostátní
http://linked.open.../riv/zahajeniAkce	2010-06-06 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Matematický ústav AV ČR, v.v.i.
https://schema.org/isbn	978-80-85823-57-8
http://localhost/t...ganizacniJednotka	24220

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