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

页码：1002 / 1036

页数：35

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[4]

Bear J., 1972, Dynamics of Fluids in Porous Media