Instabilities of mixed finite elements for Richards' equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F10%3A%230001584" target="_blank" >RIV/46747885:24220/10:#0001584 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Instabilities of mixed finite elements for Richards' equation
Original language 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 analyzethe mixed scheme on 1D domain and we show that it violates the discrete maximum principle which leads to catastrophic oscillations in the solution.
Czech name
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Czech description
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Project
<a href="/en/project/1M0554" target="_blank" >1M0554: Advanced Remedial Technologies and Processes</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Programs and Algorithms of Numerical Mathematics 15
ISBN
978-80-85823-57-8
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
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Publisher name
Matematický ústav AV ČR, v.v.i.
Place of publication
Praha
Event location
Horní Maxov
Event date
Jun 6, 2010
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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