A short note on the accuracy of the discontinuous Galerkin method with reentrant faces

DOI10.1016/j.jcp.2021.110448OpenAlexW3155762253MaRDI QIDQ2132560

Terry S. Haut, Will Pazner

Publication date: 28 April 2022

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

Full work available at URL: https://arxiv.org/abs/2104.08339

zbMATH Keywords

high-order accuracydiscontinuous Galerkinupwind transport

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high-order discontinuous Galerkin method for 2D incompressible flows
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• Error estimates to smooth solutions of semi‐discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws
• Symmetric positive linear differential equations
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
• Spectral Methods
• Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory

This page was built for publication: A short note on the accuracy of the discontinuous Galerkin method with reentrant faces