An overview of the Trilinos project

By M. Heroux, Roscoe A. Bartlett, V. Howle, R. Hoekstra, Jonathan J. Hu, Tamara G. Kolda, R. Lehoucq, Kevin R. Long, R. Pawlowski, Eric T. Phipps and 6 more. TOMS, 2005

1,170 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Hardware and Architecture

View Paper: https://www.semanticscholar.org/paper/70ef942ceda757cea71ee2c53f7deb4f09b0df7b

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Citations in the corpus

Phase-field modeling of a fluid-driven fracture in a poroelastic medium (2015, methodology): “Accepted for publication in Computational Geosciences, 2015 25 This preconditioner is computed with an algebraic multigrid method from Trilinos [23] and yields a moderate number of iterations of the GMRES solver.”
Neurobiology of Aging: Contents (2005, positive): “Software tools for incorporating block preconditioners geared towards incompressible flow problems into Krylov subspace methods are now available in the Meros package, which is part of the Trilinos project from Sandia National Laboratories (Heroux, Bartlett, Howle, Hoekstra, Hu, Kolda, Lehoucq, Long”
The deal.II Library, Version 9.5 (2023, background): “Trilinos ’ Belos and NOX packages Trilinos is a large collection of individual sub-packages [41, 72]. deal.”
The Stan Math Library: Reverse-Mode Automatic Differentiation in C++ (2015, methodology): “Stan’s basic pointer-to-implementation pattern and arena-based memory design was based on Gay’s original system RAD Gay (2005); RAD is also the basis for the Sacado automatic differentiation package, which is part of the Trilinos project Heroux et al. (2005).”
DOLFIN: Automated finite element computing (2010, neutral): “Currently supported linear algebra backends include PETSc [Balay et al. 2009], Trilinos/Epetra [Heroux et al. 2005 MTL4 [Gottschling and Lumsdaine 2009].”
A comparison of eigensolvers for large‐scale 3D modal analysis using AMG‐preconditioned iterative methods (2005, methodology): “The codes are implemented in C++, using the Trilinos [ 21 ] project.”
Firedrake (2015, methodology): “2014] and Trilinos’ EPetra and TPetra packages [Heroux et al. 2005].”
The deal.II finite element library: Design, features, and insights (2019, methodology): “II will need to rely on third-party libraries such as the Tpetra package of Trili-nos [28] that uses Kokkos [54] for performance portability.”
High Accuracy Mantle Convection Simulation through Modern Numerical Methods. II: Realistic Models and Problems (2017, background): “II [Bangerth et al.(2016b)], p4est [Burstedde et al.(2011)], and Trilinos [Heroux et al.(2005)]; our test setups areavailable in the source repository at https://github.com/geodynamics/ aspect .”
Review and Unification of Methods for Computing Derivatives of Multidisciplinary Computational Models (2013, background): “There are general-purpose numerical libraries that implement many of thesemethods [13,14].”
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach (2015, background): “The linear system (18) is solved with appropriate solvers in Trilinos [30].”
Multi-output separable Gaussian process: Towards an efficient, fully Bayesian paradigm for uncertainty quantification (2013, methodology): “The eigenfunctions of the exponential random field used to model the permeability were calculated via Stokhos which is part of Trilinos [43].”