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Pursuing scalability for hypre's conceptual interfaces

Robert D. Falgout, Jim E. Jones, Ulrike Meier Yang
2005 ACM Transactions on Mathematical Software  
The software library hypre provides high performance preconditioners and solvers for the solution of large, sparse linear systems on massively parallel computers as well as conceptual interfaces that allow  ...  These interfaces include a stencil-based structured interface (Struct); a semi-structured interface (semiStruct), which is appropriate for applications that are mostly structured, e.g. block structured  ...  It provides access to hypre's most efficient scalable solvers for scalar structured-grid applications, the geometric multigrid methods SMG [4] and PFMG [2] .  ... 
doi:10.1145/1089014.1089018 fatcat:hir7sffnord3tnn6qk5coa2qmy

An overview of the Advanced CompuTational Software (ACTS) collection

L. A. Drummond, O. A. Marques
2005 ACM Transactions on Mathematical Software  
Lastly, we present a vision of the ACTS project for deployment of the ACTS Collection by the computational sciences community.  ...  These tools tackle a number of common computational issues found in many applications, mainly implementation of numerical algorithms, and support for code development, execution and optimization.  ...  Marques determine the conceptual interface that they are interested in developing, then choose among Hypre's preconditioners and iterative solvers, and lastly chose a matrix format that is compatible  ... 
doi:10.1145/1089014.1089016 fatcat:7pgu5tetu5hwpoflrfwyyzobwa

xSDK Foundations: Toward an Extreme-scale Scientific Software Development Kit

2017 Supercomputing Frontiers and Innovations  
seamless combination of aggregate capabilities, and it marks first steps toward extreme-scale scientific software ecosystems from which future applications can be composed rapidly with assured quality and scalability  ...  Scientific libraries provide high-quality, reusable software components for constructing applications with improved robustness and portability.  ...  , sparing users the effort to rebuild their problems through hypre's or SuperLU's interfaces.  ... 
doi:10.14529/jsfi170104 fatcat:yrtuqdq6vza2vbw3u77unbdtim

xSDK Foundations: Toward an Extreme-scale Scientific Software Development Kit [article]

Roscoe Bartlett, Irina Demeshko, Todd Gamblin, Glenn Hammond, Michael Heroux, Jeffrey Johnson, Alicia Klinvex, Xiaoye Li, Lois Curfman McInnes, J. David Moulton, Daniel Osei-Kuffuor, Jason Sarich (+3 others)
2017 arXiv   pre-print
seamless combination of aggregate capabilities, and it marks first steps toward extreme-scale scientific software ecosystems from which future applications can be composed rapidly with assured quality and scalability  ...  Scientific libraries provide high-quality, reusable software components for constructing applications with improved robustness and portability.  ...  , sparing users the effort to rebuild their problems through hypre's or SuperLU's interfaces.  ... 
arXiv:1702.08425v1 fatcat:jxslsupy7bc7pao7nx6xugjxea

MFEM: a modular finite element methods library [article]

Robert Anderson, Julian Andrej, Andrew Barker, Jamie Bramwell, Jean-Sylvain Camier, Jakub Cerveny, Veselin Dobrev, Yohann Dudouit, Aaron Fisher, Tzanio Kolev, Will Pazner, Mark Stowell, Vladimir Tomov (+2 others)
2019 arXiv   pre-print
MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite element methods that features arbitrary high-order finite element meshes and spaces, support for a wide variety  ...  MFEM's goal is to provide application scientists with access to cutting-edge algorithms for high-order finite element meshing, discretizations and linear solvers, while enabling researchers to quickly  ...  Neither the United States government nor Lawrence Livermore National Security, LLC, nor any of their employees makes any warranty, expressed or implied, or assumes any legal liability or responsibility for  ... 
arXiv:1911.09220v1 fatcat:ybz32eih2vhmzh2t34c7dde37y

Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations

Jean-Raynald de Dreuzy, Anthony Beaudoin, Jocelyne Erhel
2007 Water Resources Research  
For purely advective transport, the asymptotic 19 longitudinal dispersion coefficient depends linearly on σ 2 for σ 2 <1 and quadratically on σ 2 for 20 σ 2 >1 and the asymptotic transverse dispersion  ...  correlation lengths with a resolution of ten cells by correlation length. 16 We determine numerically the asymptotic effective longitudinal and transverse dispersion 17 coefficients over 100 simulations for  ...  Yang (2005), Pursuing scalability for HYPRE's 557 conceptual interfaces, ACM Transactions on mathematical software, 31. 558 Fiori, A. (1996), Finite Peclet extensions of Dagan's solutions to transport  ... 
doi:10.1029/2006wr005394 fatcat:uhycqk2qqvbehckihjjegnuwbm

A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic [article]

Ahmad Abdelfattah, Hartwig Anzt, Erik G. Boman, Erin Carson, Terry Cojean, Jack Dongarra, Mark Gates, Thomas Grützmacher, Nicholas J. Higham, Sherry Li, Neil Lindquist, Yang Liu (+13 others)
2020 arXiv   pre-print
Within the past years, hardware vendors have started designing low precision special function units in response to the demand of the Machine Learning community and their demand for high compute power in  ...  Neither the United States government nor Lawrence Livermore National Security, LLC, nor any of their employees makes any warranty, expressed or implied, or assumes any legal liability or responsibility for  ...  The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States government or Lawrence Livermore National Security, LLC, and shall not be used for advertising  ... 
arXiv:2007.06674v1 fatcat:o5bkpov6bfd6fborkmcujgrwpu

Connectivity-consistent mapping method for 2-D discrete fracture networks

Delphine Roubinet, Jean-Raynald de Dreuzy, Philippe Davy
2010 Water Resources Research  
Assembling the Equivalent Hydraulic Matrices provides for a 10 domain-scale discretization of the flow equation.  ...  The 6 method divides the simulation complexity by solving for flows successively at a local mesh scale and 7 at the global domain scale.  ...  D., et al. (2005), Pursuing scalability for Hypre's conceptual interfaces, ACM Trans. 593 Math. Softw., 31(3), 326-350. 594 Hsieh, P.  ... 
doi:10.1029/2009wr008302 fatcat:2h6sezpwrfc4zffwqmcdbe2c4y

Simulation of Fusion Plasmas: Current Status and Future Direction

D A Batchelor, M Beck, A Becoulet, R V Budny, C S Chang, P H Diamond, J Q Dong, G Y Fu, A Fukuyama, T S Hahm, D E Keyes, Y Kishimoto (+17 others)
2007 Plasma Science and Technology  
Examples include the Finite Element Interface, the Equation Solver Interface, Hypre's "conceptual interfaces," and PETSc's linear solver interface, which has become the de facto TOPS interface through  ...  Demand for scalable solvers The principal demand for scalable solvers arises from multiscale applications.  ...  The working group on CSC reported that the mission of CSC is to establish a Centre of Excellence (COE) for the simulation and modeling of ITER, JT-60SA and other fusion experiments, and for the design  ... 
doi:10.1088/1009-0630/9/3/13 fatcat:qultg3zae5dqtcyqm6lktxgdve