Stable Discontinuous Galerkin FEM Without Penalty Parameters

DOI10.1007/978-3-319-39929-4_17zbMath1352.65517arXiv1602.04625OpenAlexW2275819250MaRDI QIDQ3179657

L. John, Iain Smears, Michael Neilan

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04625

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms ⋮ Hybrid high-order methods for finite deformations of hyperelastic materials ⋮ Convergence of adaptive discontinuous Galerkin methods ⋮ BR2 discontinuous Galerkin methods for finite hyperelastic deformations ⋮ Discontinuous Galerkin Method for Incompressible Two-Phase Flows ⋮ A hybrid high-order method for incremental associative plasticity with small deformations ⋮ Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form

Cites Work

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• Mathematical aspects of discontinuous Galerkin methods.
• Mixed finite elements in \(\mathbb{R}^3\)
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• A new error analysis for discontinuous finite element methods for linear elliptic problems
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Mixed Finite Element Methods and Applications

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