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Natalie Beams
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All published works
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Title
Year
Authors
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An Iterative Solver for the HPS Discretization Applied to Three Dimensional Helmholtz Problems
2024
José Pablo Lucero Lorca
Natalie Beams
Damien Beecroft
Adrianna Gillman
+
Data for Performance-Portable Solid Mechanics via Matrix-Free p-Multigrid
2022
Jed Brown
Valeria Barra
Natalie Beams
Leila Ghaffari
Matthew G. Knepley
William S. Moses
Rezgar Shakeri
Karen Stengel
Jeremy Thompson
Junchao Zhang
+
Data for Performance-Portable Solid Mechanics via Matrix-Free p-Multigrid
2022
Jed Brown
Valeria Barra
Natalie Beams
Leila Ghaffari
Matthew G. Knepley
William S. Moses
Rezgar Shakeri
Karen Stengel
Jeremy Thompson
Junchao Zhang
+
Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid
2022
Jed Brown
Valeria Barra
Natalie Beams
Leila Ghaffari
Matthew G. Knepley
W.W. Moses
Rezgar Shakeri
Karen Stengel
Jeremy Thompson
Junchao Zhang
+
PDF
Chat
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems
2021
José Pablo Lucero Lorca
Natalie Beams
Damien Beecroft
Adrianna Gillman
+
PDF
Chat
GPU algorithms for Efficient Exascale Discretizations
2021
Ahmad Abdelfattah
Valeria Barra
Natalie Beams
Ryan Bleile
Jed Brown
JeanâSylvain Camier
Robert Carson
Noel Chalmers
Veselin Dobrev
Yohann Dudouit
+
GPU Algorithms for Efficient Exascale Discretizations
2021
Ahmad Abdelfattah
Valeria Barra
Natalie Beams
Ryan Bleile
Jed Brown
JeanâSylvain Camier
Robert Carson
Noel Chalmers
Veselin Dobrev
Yohann Dudouit
+
PDF
Chat
Efficient exascale discretizations: High-order finite element methods
2021
Tzanio Kolev
Paul Fischer
Misun Min
Jack Dongarra
Jed Brown
Veselin Dobrev
Tim Warburton
Stanimire Tomov
Mark S. Shephard
Ahmad Abdelfattah
+
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems
2021
José Pablo Lucero Lorca
Natalie Beams
Damien Beecroft
Adrianna Gillman
+
GPU Algorithms for Efficient Exascale Discretizations
2021
Ahmad Abdelfattah
Valeria Barra
Natalie Beams
Ryan Bleile
Jed Brown
JeanâSylvain Camier
Robert C. Carson
Noel Chalmers
Veselin Dobrev
Yohann Dudouit
+
Efficient implementations for matrix-free solutions of PDEs with libCEED
2020
Valeria Barra
J. Brown
Jeremy Thompson
Leila Ghaffari
Yohann Dudouit
Natalie Beams
+
High-Order Finite Element Method using Standard and Device-Level Batch GEMM on GPUs
2020
Natalie Beams
Ahmad Abdelfattah
Stanimire Tomov
Jack Dongarra
Tzanio Kolev
Yohann Dudouit
+
PDF
Chat
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
2019
Natalie Beams
Adrianna Gillman
Russell J. Hewett
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A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
2018
Natalie Beams
Adrianna Gillman
Russell J. Hewett
+
PDF
Chat
High-order finite elementâintegral equation coupling on embedded meshes
2018
Natalie Beams
Andreas Klöckner
Luke N. Olson
+
High-order Finite Element--Integral Equation Coupling for Elliptic Problems on Embedded Meshes
2018
Natalie Beams
Andreas Klöckner
Luke N. Olson
+
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
2018
Natalie Beams
Adrianna Gillman
Russell J. Hewett
+
PDF
Chat
A Finite Element Based P$^3$M Method for $N$-Body Problems
2016
Natalie Beams
Luke N. Olson
Jonathan B. Freund
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A Finite Element Based P3M Method for N-body Problems
2015
Natalie Beams
Luke N. Olson
Jonathan B. Freund
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A Finite Element Based P3M Method for N-body Problems
2015
Natalie Beams
Luke N. Olson
Jonathan B. Freund
Common Coauthors
Coauthor
Papers Together
Valeria Barra
8
Jed Brown
7
Adrianna Gillman
6
Yohann Dudouit
6
Stanimire Tomov
5
Jeremy Thompson
5
Tzanio Kolev
5
Ahmad Abdelfattah
5
Luke N. Olson
5
Vladimir Tomov
4
Thilina Rathnayake
4
Ananias Tomboulides
4
Tim Warburton
4
JeanâSylvain Camier
4
Noel Chalmers
4
Veselin Dobrev
4
Stefan Kerkemeier
4
Leila Ghaffari
4
Elia Merzari
4
Yu-Hsiang Lan
4
Misun Min
4
Paul Fischer
4
Russell J. Hewett
3
Ali Karakus
3
Malachi Phillips
3
Junchao Zhang
3
Matthew G. Knepley
3
Damien Beecroft
3
José Pablo Lucero Lorca
3
Jonathan B. Freund
3
Ryan Bleile
3
Karen Stengel
3
Rezgar Shakeri
3
William S. Moses
2
Andreas Klöckner
2
Kenneth Weiss
2
Arturo Vargas
2
Robert Carson
2
Jack Dongarra
2
Robert N. Rieben
2
Thomas Stitt
2
Arturo Vargas
1
Cameron Smith
1
J. Brown
1
Thomas R. Stitt
1
Will Pazner
1
Ian Karlin
1
Kenneth M. Weiss
1
Aleksandr Obabko
1
Kasia Ćwirydowicz
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
An MPI/OpenACC implementation of a high-order electromagnetics solver with GPUDirect communication
2016
Matthew Otten
Jing Gong
Azamat Mametjanov
Aaron Vose
John Levesque
Paul Fischer
Misun Min
3
+
Scalability of high-performance PDE solvers
2020
Paul Fischer
Misun Min
Thilina Rathnayake
Som Dutta
Tzanio Kolev
Veselin Dobrev
JeanâSylvain Camier
Martin Kronbichler
Tim Warburton
Kasia Ćwirydowicz
3
+
High-performance Tensor Contractions for GPUs
2016
Ahmad Abdelfattah
Marc Baboulin
Veselin Dobrev
J. Dongarra
Chris Earl
Joël Falcou
Azzam Haidar
Ian Karlin
Tzanio Kolev
Ian Masliah
3
+
OCCA: A unified approach to multi-threading languages
2014
David Medina
3
+
High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
2012
Veselin Dobrev
Tzanio Kolev
Robert N. Rieben
3
+
PDF
Chat
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations
2019
Hennes Hajduk
Dmitri Kuzmin
Tzanio Kolev
RĂ©mi Abgrall
3
+
PDF
Chat
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
2014
Adrianna Gillman
Alex H. Barnett
PerâGunnar Martinsson
3
+
MFEM: A modular finite element methods library
2020
Robert Anderson
Julian Andrej
Andrew T. Barker
Jamie Bramwell
JeanâSylvain Camier
Jakub ÄervenĂœ
Veselin Dobrev
Yohann Dudouit
Aaron Fisher
Tzanio Kolev
3
+
PDF
Chat
A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method
2014
Adrianna Gillman
PerâGunnar Martinsson
3
+
PDF
Chat
Acceleration of tensor-product operations for high-order finite element methods
2019
Kasia Ćwirydowicz
Noel Chalmers
Ali Karakus
Tim Warburton
3
+
PDF
Chat
An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems
2019
Peter Geldermans
Adrianna Gillman
3
+
PDF
Chat
High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation
2016
Robert Anderson
Veselin Dobrev
Tzanio Kolev
Dmitri Kuzmin
Manuel Quezada de Luna
Robert N. Rieben
Vladimir Tomov
3
+
Projection techniques for iterative solution of with successive right-hand sides
1998
Paul Fischer
2
+
PDF
Chat
A Distributed-Memory Package for Dense Hierarchically Semi-Separable Matrix Computations Using Randomization
2016
François-Henry Rouet
Xiaoye Sherry Li
Pieter Ghysels
Artem Napov
2
+
Numerical Analysis of Spectral Methods
1977
David Gottlieb
Steven A. Orszag
2
+
PDF
Chat
Comments on P3M, FMM, and the Ewald method for large periodic Coulombic systems
1996
E. L. Pollock
Jim Glosli
2
+
PDF
Chat
A direct solver with O(N) complexity for integral equations on one-dimensional domains
2012
Adrianna Gillman
Patrick Young
PerâGunnar Martinsson
2
+
Direct Methods for Sparse Matrices
2017
Iain Duff
A. M. Erisman
J. K. Reid
2
+
Comparison of accurate methods for the integration of hyperbolic equations
1972
HeinzâOtto Kreiss
Joseph Oliger
2
+
High-Performance Tensor Contractions for GPUs
2016
Ahmad Abdelfattah
Marc Baboulin
Veselin Dobrev
Jack Dongarra
Christopher Earl
Joël Falcou
Azzam Haidar
Ian Karlin
Tzanio Kolev
Ian Masliah
2
+
The Target-Matrix Optimization Paradigm for High-Order Meshes
2019
Veselin Dobrev
Patrick Knupp
Tzanio Kolev
Ketan Mittal
Vladimir Tomov
2
+
Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors
2019
Martin Kronbichler
Karl Ljungkvist
2
+
High-Order Methods for Incompressible Fluid Flow
2002
Michel Deville
Paul Fischer
E. H. Mund
2
+
PDF
Chat
Simulation-driven optimization of high-order meshes in ALE hydrodynamics
2020
Veselin Dobrev
Patrick Knupp
Tzanio Kolev
Ketan Mittal
Robert Rieben
Vladimir Tomov
2
+
PDF
Chat
A matrix-free hyperviscosity formulation for high-order ALE hydrodynamics
2020
Pedro D. Bello-Maldonado
Tzanio Kolev
Robert N. Rieben
Vladimir Tomov
2
+
PDF
Chat
A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers
2018
Martin Kronbichler
Wolfgang A. Wall
2
+
High-Order Finite Element Method using Standard and Device-Level Batch GEMM on GPUs
2020
Natalie Beams
Ahmad Abdelfattah
Stanimire Tomov
Jack Dongarra
Tzanio Kolev
Yohann Dudouit
2
+
PDF
Chat
NekRS, a GPU-accelerated spectral element NavierâStokes solver
2022
Paul Fischer
Stefan Kerkemeier
Misun Min
Yu-Hsiang Lan
Malachi Phillips
Thilina Rathnayake
Elia Merzari
Ananias Tomboulides
Ali Karakus
Noel Chalmers
2
+
Approximate solutions of integral and operator equations
1964
P. M. Anselone
Robert H. Moore
1
+
PDF
Chat
A fully discrete BEMâFEM scheme for transient acoustic waves
2016
Matthew E. Hassell
FranciscoâJavier Sayas
1
+
Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
2001
Andrew Knyazev
1
+
PDF
Chat
An adaptive fast multipole accelerated Poisson solver for complex geometries
2017
Travis Askham
Antoine Cerfon
1
+
PDF
Chat
The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
1997
Simon N. ChandlerâWilde
1
+
PDF
Chat
High-Performance Tensor Contraction without Transposition
2018
Devin A. Matthews
1
+
PDF
Chat
Comparison of multigrid algorithms for highâorder continuous finite element discretizations
2015
Hari Sundar
Georg Stadler
George Biros
1
+
PDF
Chat
Strassen's Algorithm for Tensor Contraction
2018
Jianyu Huang
Devin A. Matthews
Robert A. Geijn
1
+
PDF
Chat
Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods
2017
Will Pazner
PerâOlof Persson
1
+
PDF
Chat
A new level-dependent coarse grid correction scheme for indefinite Helmholtz problems
2013
Siegfried Cools
Bram Reps
Wim Vanroose
1
+
PDF
Chat
A fast algorithm with error bounds for Quadrature by Expansion
2018
Matt Wala
Andreas Klöckner
1
+
PDF
Chat
Discontinuous Galerkin discretizations of the BoltzmannâBGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers
2019
Ali Karakus
Noel Chalmers
Jan S. Hesthaven
Tim Warburton
1
+
Comparison of accurate methods for the integration of hyperbolic equations
1972
HeinzâOtto Kreiss
Joseph Oliger
1
+
A Characteristic-Based Spectral Element Method for Moving-Domain Problems
2018
Saumil Patel
Paul Fischer
Misun Min
Ananias Tomboulides
1
+
A code generator for high-performance tensor contractions on GPUs
2019
Jinsung Kim
Aravind Sukumaran-Rajam
Vineeth Thumma
Sriram Krishnamoorthy
Ajay Panyala
Louis-Noël Pouchet
Atanas Rountev
P. Sadayappan
1
+
PDF
Chat
Elliptic Partial Differential Equations of Second Order
1977
David Gilbarg
Neil S. Trudinger
1
+
PDF
Chat
Nonconforming Schwarz-spectral element methods for incompressible flow
2019
Ketan Mittal
Som Dutta
Paul Fischer
1
+
Tensor Decompositions and Applications
2009
Tamara G. Kolda
Brett W. Bader
1
+
PDF
Chat
Design of a High-Performance GEMM-like TensorâTensor Multiplication
2018
Paul Springer
Paolo Bientinesi
1
+
Nonconforming Mesh Refinement for High-Order Finite Elements
2019
Jakub ÄervenĂœ
Veselin Dobrev
Tzanio Kolev
1
+
A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
2019
Martin J. Gander
Hui Zhang
1
+
Elliptic Partial Differential Equations of Second Order
1997
Piero Bassanini
Alan R. Elcrat
1