A posteriori analysis of a space and time discretization of a nonlinear model for the flow in partially saturated porous media

被引：10
|
作者：
Bernardi, Christine [1 ,2 ]
El Alaoui, Linda [3 ]
Mghazli, Zoubida [4 ]
机构：
[1] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
[2] Univ Paris 06, F-75252 Paris 05, France
[3] Univ Paris 13, CNRS, UMR 7539, LAGA, F-93430 Villetaneuse, France
[4] Univ Ibn Tofail, Fac Sci, Equipe Ingn Math EIMA LIRNE, Kenitra, Morocco
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2014年 / 34卷 / 03期
关键词：
Richards equation; space and time discretization; a posteriori analysis; FINITE-ELEMENT-METHOD; DEGENERATE PARABOLIC PROBLEMS; ERROR ESTIMATION; RICHARDS EQUATION; PRIORI; ORDER; APPROXIMATION; SIMULATION; ADAPTIVITY; DISCRETE;
D O I：
10.1093/imanum/drt014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the equation due to Richards which models the water flow in a partially saturated underground porous medium under the surface. We propose a discretization of this equation by an implicit Euler scheme in time and mixed finite elements in space. We perform a posteriori analysis of this discretization, in order to improve its efficiency via time-step and mesh adaptivity. Some numerical experiments confirm the interest of this approach.
引用
收藏
页码：1002 / 1036
页数：35
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