GPU accelerated spectral finite elements on all-hex meshes

Remacle, J. -F.; Gandham, R.; Warburton, T.

doi:10.1016/j.jcp.2016.08.005

Title: GPU accelerated spectral finite elements on all-hex meshes

Authors:: Remacle, J. -F.; Gandham, R.; Warburton, T.

Publication Date:: Tue Nov 01 00:00:00 EDT 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1359303

Grant/Contract Number:: N00014-13-1-0873; AC02-06CH11357; 1F-32301

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 324 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Citation Formats


                    Remacle, J. -F., Gandham, R., and Warburton, T. GPU accelerated spectral finite elements on all-hex meshes.  United States: N. p., 2016. 
Web.  doi:10.1016/j.jcp.2016.08.005.

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                    Remacle, J. -F., Gandham, R., & Warburton, T. GPU accelerated spectral finite elements on all-hex meshes.  United States.  https://doi.org/10.1016/j.jcp.2016.08.005

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                    Remacle, J. -F., Gandham, R., and Warburton, T. Tue .  
"GPU accelerated spectral finite elements on all-hex meshes".  United States.  https://doi.org/10.1016/j.jcp.2016.08.005.

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@article{osti_1359303,

  title        = {GPU accelerated spectral finite elements on all-hex meshes},

  author       = {Remacle, J. -F. and Gandham, R. and Warburton, T.},

  abstractNote = {},

  doi          = {10.1016/j.jcp.2016.08.005},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 324,

  place        = {United States},

  year         = {Tue Nov 01 00:00:00 EDT 2016},

  month        = {Tue Nov 01 00:00:00 EDT 2016}

}

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Cited by: 16 works

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Works referenced in this record:

Finite Element Integration on GPUs
journal, February 2013

Knepley, Matthew G.; Terrel, Andy R.
ACM Transactions on Mathematical Software, Vol. 39, Issue 2
DOI: 10.1145/2427023.2427027

Towards a complete FEM-based simulation toolkit on GPUs: Unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses
journal, July 2013

Geveler, M.; Ribbrock, D.; Göddeke, D.
Computers & Fluids, Vol. 80
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Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
journal, September 2009

Geuzaine, Christophe; Remacle, Jean-François
International Journal for Numerical Methods in Engineering, Vol. 79, Issue 11
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Additive Schwarz methods for thep-version finite element method
journal, December 1993

Pavarino, Luca F.
Numerische Mathematik, Vol. 66, Issue 1
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A stabilized nodally integrated tetrahedral
journal, January 2006

Puso, M. A.; Solberg, J.
International Journal for Numerical Methods in Engineering, Vol. 67, Issue 6
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Fully-automated hex-dominant mesh generation with directionality control via packing rectangular solid cells
journal, January 2003

Yamakawa, Soji; Shimada, Kenji
International Journal for Numerical Methods in Engineering, Vol. 57, Issue 15
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An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier–Stokes Equations
journal, May 1997

Fischer, Paul F.
Journal of Computational Physics, Vol. 133, Issue 1
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Assembly of finite element methods on graphics processors
journal, August 2010

Cecka, Cris; Lew, Adrian J.; Darve, E.
International Journal for Numerical Methods in Engineering, Vol. 85, Issue 5
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Hierarchic multigrid iteration strategy for the discontinuous Galerkin solution of the steady Euler equations
journal, January 2006

Hillewaert, Koen; Chevaugeon, Nicolas; Geuzaine, Philippe
International Journal for Numerical Methods in Fluids, Vol. 51, Issue 9-10
DOI: 10.1002/fld.1135

A GPU accelerated aggregation algebraic multigrid method
journal, November 2014

Gandham, Rajesh; Esler, Kenneth; Zhang, Yongpeng
Computers & Mathematics with Applications, Vol. 68, Issue 10
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Exploring weak scalability for FEM calculations on a GPU-enhanced cluster
journal, November 2007

Göddeke, Dominik; Strzodka, Robert; Mohd-Yusof, Jamaludin
Parallel Computing, Vol. 33, Issue 10-11
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Architecting the finite element method pipeline for the GPU
journal, February 2014

Fu, Zhisong; James Lewis, T.; Kirby, Robert M.
Journal of Computational and Applied Mathematics, Vol. 257
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GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations
journal, July 2015

Gandham, Rajesh; Medina, David; Warburton, Timothy
Communications in Computational Physics, Vol. 18, Issue 1
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A frontal approach to hex-dominant mesh generation
journal, January 2014

Baudouin, Tristan; Remacle, Jean-François; Marchandise, Emilie
Advanced Modeling and Simulation in Engineering Sciences, Vol. 1, Issue 1
DOI: 10.1186/2213-7467-1-8

Finite element assembly strategies on multi-core and many-core architectures: FINITE ELEMENT ASSEMBLY ON MULTI-CORE AND MANY-CORE ARCHITECTURES
journal, January 2012

Markall, G. R.; Slemmer, A.; Ham, D. A.
International Journal for Numerical Methods in Fluids, Vol. 71, Issue 1
DOI: 10.1002/fld.3648

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Title: GPU accelerated spectral finite elements on all-hex meshes

Citation Formats

Finite Element Integration on GPUs journal, February 2013

Towards a complete FEM-based simulation toolkit on GPUs: Unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses journal, July 2013

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An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier–Stokes Equations journal, May 1997

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Additive Schwarz methods for thep-version finite element method
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A stabilized nodally integrated tetrahedral
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Fully-automated hex-dominant mesh generation with directionality control via packing rectangular solid cells
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An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier–Stokes Equations
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Assembly of finite element methods on graphics processors
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Hierarchic multigrid iteration strategy for the discontinuous Galerkin solution of the steady Euler equations
journal, January 2006

A GPU accelerated aggregation algebraic multigrid method
journal, November 2014

Exploring weak scalability for FEM calculations on a GPU-enhanced cluster
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Architecting the finite element method pipeline for the GPU
journal, February 2014

GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations
journal, July 2015

A frontal approach to hex-dominant mesh generation
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Finite element assembly strategies on multi-core and many-core architectures: FINITE ELEMENT ASSEMBLY ON MULTI-CORE AND MANY-CORE ARCHITECTURES
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