Instability of mixed finite elements for Richards' equation
- Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 22-27
Access Full Article
top
Abstract
topHow to cite
topBřezina, Jan. "Instability of mixed finite elements for Richards' equation." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 22-27. <http://eudml.org/doc/271427>.
@inProceedings{Březina2010,
abstract = {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.},
author = {Březina, Jan},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {Richard's equation; flow in porous media; mixed finite element method; discrete maximum principle},
location = {Prague},
pages = {22-27},
publisher = {Institute of Mathematics AS CR},
title = {Instability of mixed finite elements for Richards' equation},
url = {http://eudml.org/doc/271427},
year = {2010},
}
TY - CLSWK
AU - Březina, Jan
TI - Instability of mixed finite elements for Richards' equation
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 22
EP - 27
AB - 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.
KW - Richard's equation; flow in porous media; mixed finite element method; discrete maximum principle
UR - http://eudml.org/doc/271427
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.