Robust Newton Solver Based on Variable Switch for a Finite Volume Discretization of Richards Equation

DOI10.1007/978-3-030-43651-3_35zbMath1454.65068OpenAlexW3005067592MaRDI QIDQ5117459

Clément Cancès, Guillaume Enchéry, Quang Huy Tran, Sabrina Bassetto

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_35

zbMATH Keywords

degenerate parabolic equationnonlinear solvervariable switch

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate elliptic equations (35J70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Upstream mobility finite volumes for the Richards equation in heterogenous domains ⋮ Optimal lumped control of moisture transfer in porous media ⋮ A Gravity Current Model with Capillary Trapping for Oil Migration in Multilayer Geological Basins ⋮ On several numerical strategies to solve Richards' equation in heterogeneous media with finite volumes

Cites Work

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• Trust-region based solver for nonlinear transport in heterogeneous porous media
• Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions
• Quasilinear elliptic-parabolic differential equations
• Introduction to modelling of transport phenomena in porous media
• A study on iterative methods for solving Richards' equation
• A Nested Newton-Type Algorithm for Finite Volume Methods Solving Richards' Equation in Mixed Form
• Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation

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