An analysis of stability of the flux reconstruction formulation on quadrilateral elements for the linear advection-diffusion equation
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Publication:1743439
DOI10.1007/s10915-017-0513-9zbMath1395.65088OpenAlexW2760217197MaRDI QIDQ1743439
Abhishek Sheshadri, Anthony Jameson
Publication date: 13 April 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0513-9
Reaction-diffusion equations (35K57) 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)
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- On the stability of the flux reconstruction schemes on quadrilateral elements for the linear advection equation
- PyFR: an open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach
- Energy stable flux reconstruction schemes for advection-diffusion problems on triangles
- On the non-linear stability of flux reconstruction schemes
- 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 for triangular elements
- Energy stable flux reconstruction schemes for advection-diffusion problems on tetrahedra
- A proof of the stability of the spectral difference method for all orders of accuracy
- A new class of high-order energy stable flux reconstruction schemes
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Dealiasing techniques for high-order spectral element methods on regular and irregular grids
- 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
- Heterogeneous computing on mixed unstructured grids with pyfr
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- Energy stable flux reconstruction schemes for advection-diffusion problems
- Spectral difference method for unstructured grids. I. Basic formulation
- On the connections between discontinuous Galerkin and flux reconstruction schemes: extension to curvilinear meshes
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Connections between the discontinuous Galerkin method and high‐order flux reconstruction schemes
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
