A modified weak Galerkin method for \(\boldsymbol{H}(\mathrm{curl})\)-elliptic problem

DOI10.1016/j.camwa.2022.09.018arXiv2203.01568OpenAlexW4301370587MaRDI QIDQ6103699

Ming Tang, Yingying Xie, Liuqiang Zhong

Publication date: 5 June 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.01568

zbMATH Keywords

error estimationmodified weak Galerkin method\(\boldsymbol{H}(\mathrm{curl})\)-elliptic problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

Related Items

Convergence and optimality of an adaptive modified weak Galerkin finite element method

Cites Work

• A weak Galerkin finite element scheme for solving the stationary Stokes equations
• Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
• A modified weak Galerkin finite element method for the Stokes equations
• A \(C^0\)-weak Galerkin finite element method for the biharmonic equation
• Weak Galerkin method with \((r, r - 1, r - 1)\)-order finite elements for second order parabolic equations
• A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• A weak Galerkin finite element method for the Maxwell equations
• A hybridized weak Galerkin finite element scheme for the Stokes equations
• Weak Galerkin methods for time-dependent Maxwell's equations
• A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations
• A weak Galerkin finite element method for second-order elliptic problems
• New discretization schemes for time-harmonic Maxwell equations by weak Galerkin finite element methods
• A weak Galerkin finite element method with polynomial reduction
• A weak Galerkin finite element method for the Oseen equations
• An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
• A modified weak Galerkin finite element method for a class of parabolic problems
• A modified weak Galerkin finite element method
• A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
• Weak Galerkin finite element methods for Parabolic equations
• A new weak Galerkin finite element method for the Helmholtz equation
• A posteriori error estimate for a modified weak Galerkin method solving elliptic problems
• A Modified Weak Galerkin Finite Element Method for Sobolev Equation
• A Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation
• Weak Galerkin method for the coupled Darcy–Stokes flow
• A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number
• A Weak Galerkin Finite Element Method for the Navier-Stokes Equations
• A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems
• Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems
• A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation
• Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
• A weak Galerkin finite element method for the Stokes equations