Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions

DOI10.1142/S0218202513500711zbMath1288.35023arXiv1301.2488MaRDI QIDQ5411771

Heiko Berninger, Oliver Sander, Kathrin Smetana, Mario Ohlberger

Publication date: 25 April 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2488

zbMATH Keywords

convex minimizationKirchhoff transformationRichards equationmonotone multigridsaturated-unsaturated porous media flownonlinear transmission problemoutflow conditions of Signorini's type

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items

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Uses Software

• DUNE

Cites Work

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