Consistent Nonlinear Solver for Solute Transport in Variably Saturated Porous Media

DOI10.1007/978-3-319-57394-6_45zbMath1365.76171OpenAlexW2618658338MaRDI QIDQ5271145

Konstantin N. Lipnikov, Daniil Svyatskiy

Publication date: 4 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_45

zbMATH Keywords

discrete maximum principlesolute transportRichards equationJacobian-free solver

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Maximum principles in context of PDEs (35B50) Finite difference methods for boundary value problems involving PDEs (65N06) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

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• Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• M-Adaptation in the mimetic finite difference method

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