A priori error estimates for a mixed finite element discretization of the Richards' equation

Schneid E, Knabner P, Radu AF (2004)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2004

Journal

Numerische Mathematik Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 98

Pages Range: 353-370

Journal Issue: 2

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_SchneidKnRadu_APrioriErrorEstimatesForAMixedRichardsEquation

DOI: 10.1007/s00211-003-0509-2

Abstract

A mixed finite element discretization is applied to Richards' equation, a nonlinear, possibly degenerate parabolic partial differential equation modeling water flow through porous medium. The equation is considered in its pressure formulation and includes both variably and fully saturated flow regime. Characteristic for such problems is the lack in regularity of the solution. To handle this we use a time-integrated scheme. We analyze the scheme and present error estimates showing its convergence.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

University of Bergen / Universitetet i Bergen NO Norway (NO)

How to cite

APA:

Schneid, E., Knabner, P., & Radu, A.F. (2004). A priori error estimates for a mixed finite element discretization of the Richards' equation. Numerische Mathematik, 98(2), 353-370. https://dx.doi.org/10.1007/s00211-003-0509-2

MLA:

Schneid, Eckhard, Peter Knabner, and Adrian Florin Radu. "A priori error estimates for a mixed finite element discretization of the Richards' equation." Numerische Mathematik 98.2 (2004): 353-370.

BibTeX: Download