Solving the nonlinear Richards equation model with adaptive domain decomposition

DOI10.1016/j.cam.2014.03.010zbMath1446.76161OpenAlexW1994167562MaRDI QIDQ491569

Petr Mayer, Pavel Pech, Michal Kuraz

Publication date: 26 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.03.010

zbMATH Keywords

Richards equationadditive Schwarz domain decompositionhighly heterogeneous material propertiesnonlinear operator treatment

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

Towards hybrid two‐phase modelling using linear domain decomposition ⋮ A multi level linearized Crank–Nicolson scheme for Richards equation under variable flux boundary conditions ⋮ Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows ⋮ Numerical methods to simulate moisture dynamics in fibrous sheet

Uses Software

• DRUtES

Cites Work

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• An adaptive time discretization of the classical and the dual porosity model of Richards' equation
• Quasilinear elliptic-parabolic differential equations
• On the nonlinear domain decomposition method
• Solution of nonlinear and degenerate convection-diffusion problems.
• Dual permeability variably saturated flow and contaminant transport modeling of a nuclear waste repository with capillary barrier protection
• Locally conservative, stabilized finite element methods for variably saturated flow
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• Algebraic theory of multiplicative Schwarz methods

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