A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling

By Patrick R. Amestoy, Iain S. Duff, Jean-Yves L'Excellent, Jacko Koster. SIAM Journal on Matrix Analysis and Applications, 2001

2,348 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Hardware and Architecture

View Paper: https://www.semanticscholar.org/paper/0e360da7981d8b9da3e8bf61bbde52adfa8d8531

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Citations in the corpus

A unified approach for a posteriori high-order curved mesh generation using solid mechanics (2016, methodology): “The systems of linear equations are now solved using the Multi-frontal Massively Parallel Solver (MUMPS).”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, methodology): “Large-scale solutions of the associated linear problems are performed with a sparse scalable direct LU solver 16 [153].”
Parallel distributed computing using Python (2011, neutral): “Finally, PETSc is designed to be highly modular, enabling the interoperability with several specialized parallel libraries like Hypre [27], Trilinos/ML [28], MUMPS [29], and others through a uni-ﬁed interface.”
Hybrid scheduling for the parallel solution of linear systems (2006, methodology): “The work in this paper is based on the solver MUMPS, a MUltifrontal Massively Parallel Solver [1].”
SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems (2003, methodology): “This can happen if the sender and receiver are required to handshake before proceeding, as is the case with large messages that exceed the MPI internal buffer size [Amestoy et al. 2001b].”
Numerical Methods for Evolutionary Differential Equations (2008, methodology): “There is a publicly available code called MUMPS [1]; see also the descriptions and user manuals of SuperLU and ScaLAPACK at Demmel’s site, http://www.”
Laminar–turbulent transition induced by a discrete roughness element in a supersonic boundary layer (2013, methodology): “…discretizing the two-dimensional PDE of the PSE3D equations (2.12) and the spatial BiGlobal analysis GEVP (2.15), with leading dimension O(104–105), is performed using the parallelizable sparse matrix linear algebra package MUMPS (Amestoy et al. 2001, 2006) and the SPARSKIT2 library (Saad 1994).”
Stable Generalized Finite Element Method (SGFEM) (2011, background): “We also thank Mr. Karl Schulz of PECOS, ICES, University of Texas at Austin, for his help on the use of superLU and MUMPS on the Lonestar system, Texas Advanced Computing Center, and also for various illuminating discussions and interpretation of the results, presented in this paper.”
Phase-field modeling of hydraulic fracture (2016, methodology): “For matrix inversion, a parallel, sparse, direct solver from the MUMPS package for the PETSc library is used to solve the problems that are discussed in the next section([80-83]).”
Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM) (2012, methodology): “As an alternative, ISSM uses the Multifrontal Massively Parallel Sparse direct solver (MUMPS) [Amestoy et al., 2001, 2006].”