GPU-accelerated discontinuous Galerkin methods on hybrid meshes
type: Item
instance of: scholarly article
title: GPU-accelerated discontinuous Galerkin methods on hybrid meshes
zbMATH Open document ID: 1349.65443
author: Jesse Chan
author: Zheng Wang
author: Axel Modave
author: J.-F. Remacle
author: T. Warburton
published in: Journal of Computational Physics
publication date: 2016-12-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1507.02557
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65Y10
zbMATH DE Number: 6661187
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: GPU
zbMATH Keywords: high order
zbMATH Keywords: hybrid mesh
zbMATH Keywords: timestep restriction
zbMATH Keywords: wave equation
describes a project that uses: OCCA
describes a project that uses: Gmsh
describes a project that uses: Netgen
describes a project that uses: PyFR
MaRDI profile type: Publication
OpenAlex ID: W791179977
arXiv ID: 1507.02557
cites work: Q3284290
cites work: Shape functions and integration formulas for three‐dimensional finite element analysis
cites work: Higher-order finite elements for hybrid meshes using new nodal pyramidal elements
cites work: Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra
cites work: High-order optimal edge elements for pyramids, prisms and hexahedra
cites work: Higher‐order discontinuous Galerkin method for pyramidal elements using orthogonal bases
cites work: Influence of reference-to-physical frame mappings on approximation properties of discontinuous piecewise polynomial spaces
cites work: Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
cites work: \(hp\)-finite element trace inequalities for the pyramid
cites work: Orthogonal bases for vertex-mapped pyramids
cites work: Discrepancy inequalities for directed graphs
cites work: A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain
cites work: Spectral methods on triangles and other domains
cites work: Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements
cites work: Orientation embedded high order shape functions for the exact sequence elements of all shapes
cites work: GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations
cites work: Polymorphic nodal elements and their application in discontinuous Galerkin methods
cites work: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
cites work: Q5756148
cites work: Q4899691
cites work: A discontinuous Galerkin spectral/\(hp\) method on hybrid grids
cites work: Nodal discontinuous Galerkin methods on graphics processors
cites work: Q4090656
cites work: On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
cites work: An analysis of the spectrum of the discontinuous Galerkin method
cites work: An analysis of the spectrum of the discontinuous Galerkin method. II: Nonuniform grids
cites work: Time step restrictions for Runge-Kutta discontinuous Galerkin methods on triangular grids
cites work: Stabilization of the spectral element method in convection dominated flows by recovery of skew-symmetry
cites work: Numerical integration for high-order pyramidal finite elements
cites work: A spectral element method for fluid dynamics: Laminar flow in a channel expansion
cites work: Q3247257
cites work: GPU accelerated spectral finite elements on all-hex meshes
cites work: Q4217187
cites work: CFL conditions for Runge-Kutta discontinuous Galerkin methods on triangular grids
cites work: An explicit construction of interpolation nodes on the simplex
cites work: A low-storage curvilinear discontinuous Galerkin method for wave problems
cites work: On the constants in \(hp\)-finite element trace inverse inequalities.
cites work: PyFR: an open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach
cites work: A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
DOI: 10.1016/J.JCP.2016.04.003
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description: scientific article