Multifrontal parallel distributed symmetric and unsymmetric solvers

By Patrick R. Amestoy, Iain S. Duff, Jean-Yves L'Excellent. 2000

1,075 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/ecc2a5e8a44a2fa450760babf39ec20d5aafa3ae

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Citations in the corpus

Towards gigantic RVE sizes for 3D stochastic fibrous networks (2014, positive): “…FE package Z-Set 8.5 was used for the computation as it is developed in-house and has previously been used with success for computing properties of heterogeneous microstructures as in Cailletaud et al. (2003), Madi et al. (2005 (Amestoy et al., 2000) was used as it was the most efﬁcient available.”
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling (2001, background): “The main reasons for this choice are rst that the message received might be a source of additional work and parallelism and second, the sending process might be blocked because its send bu er is full (see [5]).”
Topology optimisation for natural convection problems (2014, methodology): “The multifrontal parallel direct solver MUMPS [52] is used to factorise and solve the linearised system of equations at each non-linear iteration.”
Analysis of melting behavior of PCMs in a cavity subject to a non-uniform magnetic field using a moving grid technique (2020, methodology): “The heat and fluid equations were coupled using the Newton method, and they were solved simultaneously using a MUltifrontal Massively Parallel Sparse (MUMPS) direct solver [48, 49].”
Benchmarking optimization solvers for structural topology optimization (2015, methodology): “For the nested formulation the default linear solver MUMPS (Amestoy et al. 2000) is used in IPOPT to compute the search direction while for the SAND formulation MA27 is used (Duff and Reid 1983).”
Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials (2019, methodology): “20 Massively Parallel Sparse direct Solver).(39) We use the predefined physics-controlled meshes on the level of "extremely fine” for all domains and allowed adaptive mesh refinement.”
Opti: Lowering the Barrier Between Open Source Optimizers and the Industrial MATLAB User (2012, background): “fr/MUMPS/ described in Amestoy et al. [2000], with the core numerical routines implemented in FORTRAN, while the interface API, top level functions and third party graph partitioning library METIS, (glaros.”