Details zur Publikation

Kategorie Textpublikation
Referenztyp Zeitschriften
DOI 10.1016/j.nonrwa.2011.05.003
Titel (primär) Convergence analysis for a mixed finite element scheme for flow in strictly unsaturated porous media
Autor Radu, F.A.; Wang, W. ORCID logo
Quelle Nonlinear Analysis: Real World Applications
Erscheinungsjahr 2014
Department ENVINF
Band/Volume 15
Seite von 266
Seite bis 275
Sprache englisch
Keywords Mixed finite element method; Richards' equation; Convergent numerical schemes; Flow in porous media
UFZ Querschnittsthemen RU5;
Abstract

In this paper, we analyze a fully discrete numerical scheme for water flow in strictly unsaturated porous media. The water flow is modeled by the Richards equation, a nonlinear parabolic partial differential equation. The scheme is based on the Euler implicit (EI) for the discretization in time, and the mixed finite element method (MFEM), more precisely the lowest order Raviart–Thomas elements, for the discretization in space. Error estimates are derived to show the convergence of the scheme. An optimal order of convergence is obtained. The paper concludes with two numerical tests, which are in good agreement with the theoretical estimates.
dauerhafte UFZ-Verlinkung https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=12208
Radu, F.A., Wang, W. (2014):
Convergence analysis for a mixed finite element scheme for flow in strictly unsaturated porous media
Nonlinear Anal.-Real World Appl. 15 , 266 - 275 10.1016/j.nonrwa.2011.05.003