The high order control volume discontinuous Petrov-Galerkin finite element method for the hyperbolic conservation laws based on Lax-Wendroff time discretization

DOI10.1016/J.AMC.2014.12.024zbMath1339.65184OpenAlexW1973794869MaRDI QIDQ298696

Xi-Jun Yu, Guo-Zhong Zhao

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.024

zbMATH Keywords

hyperbolic conservation lawscontrol volume discontinuous finite element methodLax-Wendroff time discretization

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Uses Software

• HE-E1GODF

Cites Work

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• Simulations of shallow water equations with finite difference Lax-Wendroff weighted essentially non-oscillatory schemes
• WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations
• A numerical comparison of the Lax-Wendroff discontinuous Galerkin method based on different numerical fluxes
• High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• The discontinuous finite element method with the Taylor-Galerkin approach for nonlinear hyperbolic conservation laws
• The Taylor-Galerkin discontinuous finite element method - an explicit scheme for nonlinear hyperbolic conservation laws
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Development of high-order Taylor-Galerkin schemes for LES
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• The discontinuous Galerkin method with Lax--Wendroff type time discretizations
• Building blocks for arbitrary high order discontinuous Galerkin schemes
• The Runge-Kutta control volume discontinuous finite element method for systems of hyperbolic conservation laws
• The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Total-Variation-Diminishing Time Discretizations
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations

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