Numerical Algorithms for Solving Elliptic-Parabolic Problems

Raimondas Čiegis ()
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Raimondas Čiegis: Vilnius Gediminas Technical University

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 232-238 from Springer

Abstract: Summary This paper deals with numerical algorithms for solving elliptic-parabolic problems. An example of such problem is given by the Richards equation for modeling the saturated-unsaturated water flow in porous media. We consider a linear model problem and investigate the convergence of two finite-volume schemes. The first one uses the implicit approximation in the whole domain, and the second scheme is constructed using the splitting method. Results of numerical experiments are also given.

Keywords: Porous Medium; Numerical Algorithm; Parabolic Problem; Splitting Method; Euler Scheme (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_20

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DOI: 10.1007/978-3-642-18775-9_20

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