456 citations · 525 across the 15 of their papers we have counts for
16 papers
PETSc/TAO Developments for GPU-Based Early Exascale Systems
Richard Tran Mills, Mark Adams, Satish Balay +9
The Portable Extensible Toolkit for Scientific Computation (PETSc) library provides scalable solvers for nonlinear time-dependent differential and algebraic equations and for numer…
PETScML: Second-order solvers for training regression problems in Scientific Machine Learning
Stefano Zampini, Umberto Zerbinati, George Turkiyyah +1
In recent years, we have witnessed the emergence of scientific machine learning as a data-driven tool for the analysis, by means of deep-learning techniques, of data produced by co…
Safe, Seamless, And Scalable Integration Of Asynchronous GPU Streams In PETSc
Jacob Faibussowitsch, Mark F. Adams, Richard Tran Mills +2
Leveraging Graphics Processing Units (GPUs) to accelerate scientific software has proven to be highly successful, but in order to extract more performance, GPU programmers must ove…
BDDC preconditioners for virtual element approximations of the three-dimensional Stokes equations
Tommaso Bevilacqua, Franco Dassi, Stefano Zampini +1
The Virtual Element Method (VEM) is a novel family of numerical methods for approximating partial differential equations on very general polygonal or polyhedral computational grids…
H2Opus: A distributed-memory multi-GPU software package for non-local operators
Stefano Zampini, Wajih Boukaram, George Turkiyyah +2
Hierarchical -matrices are asymptotically optimal representations for the discretizations of non-local operators such as those arising in integral equations or from…
H2OPUS-TLR: High Performance Tile Low Rank Symmetric Factorizations using Adaptive Randomized Approximation
Wajih Boukaram, Stefano Zampini, George Turkiyyah +1
Tile low rank representations of dense matrices partition them into blocks of roughly uniform size, where each off-diagonal tile is compressed and stored as its own low rank factor…
The PetscSF Scalable Communication Layer
Junchao Zhang, Jed Brown, Satish Balay +7
PetscSF, the communication component of the Portable, Extensible Toolkit for Scientific Computation (PETSc), is designed to provide PETSc's communication infrastructure suitable fo…
Toward Performance-Portable PETSc for GPU-based Exascale Systems
Richard Tran Mills, Mark F. Adams, Satish Balay +11
The Portable Extensible Toolkit for Scientific computation (PETSc) library delivers scalable solvers for nonlinear time-dependent differential and algebraic equations and for numer…
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs
Ilona Ambartsumyan, Wajih Boukaram, Tan Bui-Thanh +5
Hessian operators arising in inverse problems governed by partial differential equations (PDEs) play a critical role in delivering efficient, dimension-independent convergence for…
Optimized geometrical metrics satisfying free-stream preservation
Irving Reyna Nolasco, Lisandro Dalcin, David C. Del Rey Fernandez +2
Computational fluid dynamics and aerodynamics, which complement more expensive empirical approaches, are critical for developing aerospace vehicles. During the past three decades,…
MFEM: a modular finite element methods library
Robert Anderson, Julian Andrej, Andrew Barker +13
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, suppo…
Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +2
In this paper, the entropy conservative/stable algorithms presented by Del Rey Fernandez and coauthors [18,16,17] for the compressible Euler and Navier-Stokes equations on nonconfo…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations
D. C. Del Rey Fernandez, M. H. Carpenter, L. Dalcin +6
The entropy conservative/stable algorithm of Friedrich~\etal (2018) for hyperbolic conservation laws on nonconforming p-refined/coarsened Cartesian grids, is extended to curvilinea…
Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer
Lisandro Dalcin, Diego B. Rojas, Stefano Zampini +3
We present a novel technique for the imposition of non-linear entropy conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations in…
Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients
Gustavo Chávez, George Turkiyyah, Stefano Zampini +1
We present a robust and scalable preconditioner for the solution of large-scale linear systems that arise from the discretization of elliptic PDEs amenable to rank compression. The…
Accelerated Cyclic Reduction: A Distributed-Memory Fast Solver for Structured Linear Systems
Gustavo Chávez, George Turkiyyah, Stefano Zampini +2
We present Accelerated Cyclic Reduction (ACR), a distributed-memory fast direct solver for rank-compressible block tridiagonal linear systems arising from the discretization of ell…