High order mimetic difference simulation of unsaturated flow using Richards equation

DOI10.5206/mase/10874OpenAlexW3116740881MaRDI QIDQ5040161

Johnny Corbino, Angel Boada Velazco, José E. Castillo

Publication date: 11 October 2022

Published in: Mathematics in Applied Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5206/mase/10874

zbMATH Keywords

nonlinear partial differential equationsRichards equationhigh-orderunsaturated flowmimetic operators

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) General topics in partial differential equations (35A99) Numerical analysis (65-XX)

Related Items (1)

Mimetic finite difference operators and higher order quadratures

Cites Work

• Mimetic finite difference methods in image processing
• Compact finite difference modeling of 2-D acoustic wave propagation
• Low dispersive modeling of Rayleigh waves on partly staggered grids
• Solving Poisson equation with Robin boundary condition on a curvilinear mesh using high order mimetic discretization methods
• High-order mimetic finite differences for anisotropic elliptic equations
• High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law

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