Fast and Robust Numerical Solution of the Richards Equation in Homogeneous Soil

DOI10.1137/100782887zbMath1298.76115OpenAlexW2049820319MaRDI QIDQ3116422

Ralf Kornhuber, Heiko Berninger, Oliver Sander

Publication date: 22 February 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://refubium.fu-berlin.de/handle/fub188/18284

zbMATH Keywords

finite elementsconvex minimizationKirchhoff transformationmonotone multigridsaturated-unsaturated porous media flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (11)

Nonlinear mixed-dimension model for embedded tubular networks with application to root water uptake ⋮ Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management ⋮ A reduced basis localized orthogonal decomposition ⋮ Substructuring of a Signorini-type problem and Robin's method for the Richards equation in heterogeneous soil ⋮ A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs ⋮ A multidomain discretization of the Richards equation in layered soil ⋮ Unnamed Item ⋮ A family of new globally convergent linearization schemes for solving Richards' equation ⋮ Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions ⋮ A linear domain decomposition method for partially saturated flow in porous media ⋮ A numerical solution of Richards equation: a simple method adaptable in parallel computing

Uses Software

• Amira
• UG

This page was built for publication: Fast and Robust Numerical Solution of the Richards Equation in Homogeneous Soil