A new norm and stability condition for tensor product flux reconstruction schemes
From MaRDI portal
Publication:2120050
DOI10.1016/j.jcp.2020.110025OpenAlexW3107029316MaRDI QIDQ2120050
Alexander Cicchino, Siva K. Nadarajah
Publication date: 31 March 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110025
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items
Nonlinearly stable flux reconstruction high-order methods in split form ⋮ A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property ⋮ Provably stable flux reconstruction high-order methods on curvilinear elements ⋮ An extended range of stable flux reconstruction schemes on quadrilaterals for various polynomial bases
Cites Work
- On the stability of the flux reconstruction schemes on quadrilateral elements for the linear advection equation
- Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
- A new class of high-order energy stable flux reconstruction schemes
- Equivalence between the energy stable flux reconstruction and filtered discontinuous Galerkin schemes
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
- Summation-by-parts operators for correction procedure via reconstruction
- Spectral difference method for unstructured grids. I. Basic formulation
- Unnamed Item
