Stable spectral difference approach using Raviart-Thomas elements for 3D computations on tetrahedral grids
DOI10.1007/s10915-022-01790-2OpenAlexW4213130584MaRDI QIDQ2113647
Guillaume Puigt, Adèle Veilleux, Hugues Deniau, Guillaume Daviller
Publication date: 14 March 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01790-2
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
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- A stable high-order spectral difference method for hyperbolic conservation laws on triangular elements
- Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement
- Energy stable flux reconstruction schemes for advection-diffusion problems on tetrahedra
- On the stability and accuracy of the spectral difference method
- A new class of high-order energy stable flux reconstruction schemes
- GPU-accelerated discontinuous Galerkin methods on hybrid meshes
- A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
- Symmetric Gaussian quadrature formulae for tetrahedronal regions
- Moderate-degree tetrahedral quadrature formulas
- Mixed finite elements in \(\mathbb{R}^3\)
- Spectral methods on triangles and other domains
- Exact integrations of polynomials and symmetric quadrature formulas over arbitrary polyhedral grids
- A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
- Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods
- A new high-order spectral difference method for simulating viscous flows on unstructured grids with mixed-element meshes
- A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- Efficient implementation of weighted ENO schemes
- On the identification of symmetric quadrature rules for finite element methods
- An analysis of solution point coordinates for flux reconstruction schemes on tetrahedral elements
- A stable spectral difference approach for computations with triangular and hybrid grids up to the \(6^{th}\) order of accuracy
- Non-conformal and parallel discontinuous Galerkin time domain method for Maxwell's equations: EM analysis of IC packages
- Spectral difference method for unstructured grids. I. Basic formulation
- Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
- Numerical Integration Over Simplexes and Cones
- Stable Spectral Methods on Tetrahedral Elements
- High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
- Spectra of Multiplication Operators as a Numerical Tool
- Symmetric Quadrature Formulae for Simplexes
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