Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations

DOI10.1016/j.jcp.2018.02.013zbMath1395.65146OpenAlexW2793278651MaRDI QIDQ1640864

Xiu Ye, Junping Wang, Ran Zhang, Qi Long Zhai

Publication date: 14 June 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.02.013

zbMATH Keywords

finite element methodsdiscrete maximum principlesecond-order elliptic equationsweak Galerkin method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (13)

Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition ⋮ Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems ⋮ The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient ⋮ Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections ⋮ A P₀–P₀ weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problems ⋮ A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions ⋮ Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation ⋮ Mesh conditions of the preserving-maximum-principle linear finite volume element method for anisotropic diffusion-convection-reaction equations ⋮ A locking-free weak Galerkin finite element method for linear elasticity problems ⋮ Discrete maximum principle for the weak Galerkin method on triangular and rectangular meshes ⋮ The Weak Galerkin Method for Elliptic Eigenvalue Problems ⋮ A modified weak Galerkin finite element method for the linear elasticity problem in mixed form ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The weak Galerkin method for solving the incompressible Brinkman flow
• Weak Galerkin methods for second order elliptic interface problems
• A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order
• A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes
• A hybridized weak Galerkin finite element scheme for the Stokes equations
• A weak Galerkin finite element method for second-order elliptic problems
• A weak Galerkin finite element method with polynomial reduction
• Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes
• Maximum principle and uniform convergence for the finite element method
• A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
• Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations
• Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
• A weak Galerkin mixed finite element method for second order elliptic problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems
• A New Weak Galerkin Finite Element Scheme for the Brinkman Model
• A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
• On a Discrete Maximum Principle

This page was built for publication: Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations