High Order Cut Discontinuous Galerkin Methods for Hyperbolic Conservation Laws in One Space Dimension

DOI10.1137/20M1349060zbMath1490.65192arXiv2104.05446OpenAlexW3173954856WikidataQ115525529 ScholiaQ115525529MaRDI QIDQ5005005

Pei Fu, Gunilla Kreiss

Publication date: 4 August 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05446

zbMATH Keywords

stabilizationcondition numberdiscontinuous Galerkin methodhyperbolic conservation lawscut element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items (3)

A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids ⋮ DoD stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension ⋮ High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface

Cites Work

• Unnamed Item
• Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
• A stabilized Nitsche fictitious domain method for the Stokes problem
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6--8, 2016
• A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
• Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
• A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
• A stabilized Nitsche cut element method for the wave equation
• Higher order cut finite elements for the wave equation
• A cut finite element method for a Stokes interface problem
• Strong Stability-Preserving High-Order Time Discretization Methods
• A Simplified h-box Method for Embedded Boundary Grids
• The extended/generalized finite element method: An overview of the method and its applications
• IMMERSED BOUNDARY METHODS
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• TVB Uniformly High-Order Schemes for Conservation Laws
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• On a Cell Entropy Inequality for Discontinuous Galerkin Methods
• H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids
• A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
• Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems
• A Stabilized DG Cut Cell Method for Discretizing the Linear Transport Equation
• A Stabilized Cut Finite Element Method for the Three Field Stokes Problem

This page was built for publication: High Order Cut Discontinuous Galerkin Methods for Hyperbolic Conservation Laws in One Space Dimension