Substructuring of a Signorini-type problem and Robin's method for the Richards equation in heterogeneous soil

DOI10.1007/s00791-010-0141-5zbMath1337.74035OpenAlexW2022005332MaRDI QIDQ604854

Heiko Berninger, Oliver Sander

Publication date: 12 November 2010

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://refubium.fu-berlin.de/handle/fub188/19394

zbMATH Keywords

domain decomposition methodsconvex minimizationmonotone multigridsaturated-unsaturated porous media flow

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Numerical methods for variational inequalities and related problems (65K15)

Related Items

Iterative methods with nonconforming time grids for nonlinear flow problems in porous media ⋮ A multidomain discretization of the Richards equation in layered soil ⋮ Domain decomposition methods to model heat exchanges between a well and a rock mass ⋮ Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions ⋮ A linear domain decomposition method for partially saturated flow in porous media ⋮ Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle

Uses Software

• DUNE
• Amira
• UG
• ZIBAmira

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