Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form
type: Item
instance of: scholarly article
title: Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form
zbMATH Open document ID: 1402.65156
author: Cindy Guichard
author: Robert Eymard
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6973127
zbMATH Keywords: gradient discretisation method
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: symmetric interior penalty Galerkin scheme
zbMATH Keywords: discrete functional analysis
zbMATH Keywords: polytopal meshes
MaRDI profile type: Publication
full work available at URL: s40314-017-0558-2
OpenAlex ID: W2734327196
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Q5422036
cites work: Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian
cites work: A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems
cites work: A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes
cites work: Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
cites work: Mathematical aspects of discontinuous Galerkin methods.
cites work: The gradient discretisation method
cites work: Estimation of penalty parameters for symmetric interior penalty Galerkin methods
cites work: A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
cites work: Small-stencil 3D schemes for diffusive flows in porous media
cites work: Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
cites work: Q4593456
cites work: Stable Discontinuous Galerkin FEM Without Penalty Parameters
DOI: 10.1007/S40314-017-0558-2
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description: scientific article; zbMATH DE number 6973127