Meshfree multiscale method for Richards' equation in fractured media

DOI10.1134/S1995080223100293zbMATH Open1546.65074MaRDI QIDQ6544149

Yin Yang, D. Y. Nikiforov

Publication date: 27 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

mathematical modelingmultiscale methodsmeshfree methodRichards' equationdiscrete fractures

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Finite difference methods applied to problems in fluid mechanics (76M20) Soil and rock mechanics (74L10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

• Generalized multiscale finite element methods (GMsFEM)
• An adaptive GMsFEM for high-contrast flow problems
• Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method
• Meshless methods: An overview and recent developments
• Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations
• Meshfree generalized multiscale finite element method
• Multiscale Finite Element Methods
• A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
• Meshfree Methods
• Simulation of the process of infiltration into fractured porous soil in permafrost

Related Items (2)

Meshfree multiscale method with partially explicit time discretization for nonlinear Stefan problem ⋮ Multiscale model reduction for the time fractional thermoporoelasticity problem in fractured and heterogeneous media

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