Numerical analysis of two-dimensional unsaturated soil water flow problems with two-grid finite element methods

DOI10.3934/dcdsb.2022191OpenAlexW4312712581MaRDI QIDQ2697224

Chenguang Zhou, Ming Cui, Fan Chen

Publication date: 18 April 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022191

zbMATH Keywords

finite element methodtwo-grid methodunsaturated soil water flow problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Diffusion and convection (76R99)

Cites Work

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• A two-grid discretization scheme for optimal control problems of elliptic equations
• Two-grid finite volume element method for the time-dependent Schrödinger equation
• A two-grid decoupled algorithm for a multi-dimensional Darcy-Brinkman fracture model
• Local and parallel finite element methods based on two-grid discretizations for a non-stationary coupled Stokes-Darcy model
• Two-grid finite element methods for nonlinear time-fractional parabolic equations
• Discontinuous finite volume element method of two-dimensional unsaturated soil water movement problem
• Two-grid methods of finite element solutions for semi-linear elliptic interface problems
• Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation
• Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method
• Two-grid domain decomposition methods for the coupled Stokes-Darcy system
• A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation
• A mass-conserved domain decomposition method for the unsaturated soil flow water problem
• Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory
• A two-grid method for discontinuous Galerkin approximations to nonlinear Sobolev equations
• An optimizing implicit difference scheme based on proper orthogonal decomposition for the two-dimensional unsaturated soil water flow equation
• Two-Grid Methods for Maxwell Eigenvalue Problems
• A Modified Backward Time Discretization for Nonlinear Parabolic Equations Using Patch Approximations
• A two-grid discretization scheme for eigenvalue problems
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A two-grid finite element method for nonlinear parabolic integro-differential equations
• Two-grid methods for a new mixed finite element approximation of semilinear parabolic integro-differential equations
• Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions
• Two-Grid Finite Element Method with Crank-Nicolson Fully Discrete Scheme for the Time-Dependent Schrodinger Equation
• $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem

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