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Title (Primary) Analysis of an Euler implicit-mixed finite element scheme for reactive solute transport in porous media
Author Radu, F.A.; Pop, I.S.; Attinger, S.;
Journal Numerical Methods for Partial Differential Equations
Year 2010
Department CHS; ENVINF;
Volume 26
Issue 2
Language 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.
ID 10404
Persistent UFZ Identifier http://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