Development of a LDG method on polytopal mesh with optimal order of convergence

DOI10.1016/j.cam.2022.114179zbMath1490.65293OpenAlexW4213098620MaRDI QIDQ2122030

Shangyou Zhang, Peng Zhu, Xiu Ye

Publication date: 5 April 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114179

zbMATH Keywords

finite element methodsWG methodspolytopal meshLDG methodsmodified WG methods

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)

Cites Work

• A modified weak Galerkin finite element method for the Stokes equations
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• A weak Galerkin finite element method for second-order elliptic problems
• A modified weak Galerkin finite element method
• A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems

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