The Runge-Kutta control volume discontinuous finite element method for systems of hyperbolic conservation laws
DOI10.1002/fld.2393zbMath1252.65165OpenAlexW2156864968MaRDI QIDQ3113536
Dawei Chen, Xi-Jun Yu, Zhang-Xin Chen
Publication date: 18 January 2012
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/fld.2393
convergencenumerical examplesEuler equationshyperbolic conservation lawsdiscontinuous Galerkin finite element methodcontrol volume finite element methodRunge-Kutta techniquelogically rectangular grids of irregular quadrilaterals
Hyperbolic conservation laws (35L65) 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)
Related Items
Cites Work
- On the control volume finite element methods and their applications to multiphase flow
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Computation of shock wave diffraction at a ninety degrees convex edge
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A robust shock-capturing scheme based on rotated Riemann solvers.
- A contribution to the great Riemann solver debate
- A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
- Lp error estimates and superconvergence for covolume or finite volume element methods
- Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems
