A hybrid finite element-finite volume method for conservation laws

DOI10.1016/j.amc.2023.127846OpenAlexW4298201692MaRDI QIDQ2698201

Wasilij Barsukow, Remi Abgrall

Publication date: 21 April 2023

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

Full work available at URL: https://arxiv.org/abs/2208.14477

zbMATH Keywords

conservation lawshigh order methodsactive flux

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Compressible fluids and gas dynamics (76N99) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Preface for the special issue ``Hyperbolic PDE in computational physics: advanced mathematical models and structure-preserving numerics

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• The active flux scheme for nonlinear problems
• The active flux scheme on Cartesian grids and its low Mach number limit
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Order Stars and a Saturation Theorem for First-order Hyperbolics
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis

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