Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws

DOI10.1137/070687487zbMath1186.65123OpenAlexW2082898793MaRDI QIDQ5189683

Chi-Wang Shu, Jing-Mei Qiu

Publication date: 10 March 2010

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

Full work available at URL: https://semanticscholar.org/paper/61707a4a6c81bf21ef93901916aa0044db26c6d7

zbMATH Keywords

convergencefinite element methodentropy solutionnumerical examplesdiscontinuous Galerkin methodentropic projectionnonconvex conservation lawsfinite volume weighted essentially nonoscillatory scheme

Mathematics Subject Classification ID

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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

A new fifth order finite difference WENO scheme to improve convergence rate at critical points ⋮ Kinetic-controlled hydrodynamics for multilane traffic models ⋮ Adaptive WENO methods based on radial basis function reconstruction ⋮ Construction of convergent high order schemes for time dependent Hamilton-Jacobi equations ⋮ Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations. ⋮ Model-based assessment of the impact of driver-assist vehicles using kinetic theory ⋮ Finite volume HWENO schemes for nonconvex conservation laws ⋮ Efficient implementation of high order unstructured WENO schemes for cavitating flows ⋮ Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles ⋮ Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes