Details zur Publikation

Kategorie Textpublikation
Referenztyp Zeitschriften
DOI 10.1002/num.20436
Titel (primär) Analysis of an Euler implicit-mixed finite element scheme for reactive solute transport in porous media
Autor Radu, F.A.; Pop, I.S.; Attinger, S.
Quelle Numerical Methods for Partial Differential Equations
Erscheinungsjahr 2010
Department CHS; ENVINF
Band/Volume 26
Heft 2
Seite von 320
Seite bis 344
Sprache englisch
Keywords convergence; degenerate parabolic equation; equilibrium sorption; error estimates; mixed finite element method; reactive contaminant transport, Richards equaiton
Abstract In this article, we analyze an Euler implicit-mixed finite element scheme for a porous media solute transport model. The transporting flux is not assumed given, but obtained by solving numerically the Richards equation, a model for subsurface fluid flow. We prove the convergence of the scheme by estimating the error in terms of the discretization parameters. In doing so we take into account the numerical error Occurring in the approximation of the fluid flow. The article, is concluded by numerical experiments, which are in good agreement with the theoretical estimates.
dauerhafte UFZ-Verlinkung https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=10404
Radu, F.A., Pop, I.S., Attinger, S. (2010):
Analysis of an Euler implicit-mixed finite element scheme for reactive solute transport in porous media
Numer. Meth. Part Differ. Equ. 26 (2), 320 - 344 10.1002/num.20436