Simultaneous FETI and block FETI: Robust domain decomposition with multiple search directions
P Gosselet, D Rixen, FX Roux… - International Journal for …, 2015 - Wiley Online Library
Domain decomposition methods often exhibit very poor performance when applied to
engineering problems with large heterogeneities. In particular, for heterogeneities along …
engineering problems with large heterogeneities. In particular, for heterogeneities along …
An adaptive multipreconditioned conjugate gradient algorithm
N Spillane - SIAM journal on Scientific Computing, 2016 - SIAM
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive
definite linear systems in cases where several preconditioners are available or the usual …
definite linear systems in cases where several preconditioners are available or the usual …
Adaptive multipreconditioned FETI: Scalability results and robustness assessment
The purpose of this article is to assess the adaptive multipreconditioned FETI solvers
(AMPFETI) on real industrial problems and hardware. The multipreconditioned FETI …
(AMPFETI) on real industrial problems and hardware. The multipreconditioned FETI …
Problems of parallel solution of large systems of linear algebraic equations
VP Il'In - Journal of Mathematical Sciences, 2016 - Springer
The paper considers some modern problems arising in developing parallel algorithms for
solving large systems of linear algebraic equations with sparse matrices occurring in …
solving large systems of linear algebraic equations with sparse matrices occurring in …
Multipreconditioned GMRES for shifted systems
An implementation of GMRES with multiple preconditioners is proposed for solving shifted
linear systems with shift-and-invert preconditioners. With this type of preconditioner, the …
linear systems with shift-and-invert preconditioners. With this type of preconditioner, the …
Multi-preconditioned domain decomposition methods in the Krylov subspaces
VP Ilin - Numerical Analysis and Its Applications: 6th …, 2017 - Springer
We consider the algebraic and geometric issues of the advanced parallel domain
decomposition methods (DDMs) for solving very large non-symmetric systems of linear …
decomposition methods (DDMs) for solving very large non-symmetric systems of linear …
Algebraic adaptive multipreconditioning applied to restricted additive Schwarz
N Spillane - Domain Decomposition Methods in Science and …, 2017 - Springer
Abstract In 2006 the Multipreconditioned Conjugate Gradient (MPCG) algorithm was
introduced by Bridson and Greif. It is an iterative linear solver, adapted from the …
introduced by Bridson and Greif. It is an iterative linear solver, adapted from the …
[PDF][PDF] Adaptive multi preconditioned conjugate gradient: Algorithm, theory and an application to domain decomposition
N Spillane - 2015 - hal.science
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive
definite linear systems in cases where several preconditioners are available or the usual …
definite linear systems in cases where several preconditioners are available or the usual …
A combined preconditioning strategy for nonsymmetric systems
We present and analyze a class of nonsymmetric preconditioners within a normal (weighted
least-squares) matrix form for use in GMRES to solve nonsymmetric matrix problems that …
least-squares) matrix form for use in GMRES to solve nonsymmetric matrix problems that …
Résolution des équations de Navier-Stokes linéarisées pour l'aéroélasticité, l'optimisation de forme et l'aéroacoustique
A Bissuel - 2018 - pastel.hal.science
Les équations de Navier-Stokes linéarisées sont utilisées dans l'industrie aéronautique pour
l'optimisation de forme aérodynamique, l'aéroélasticité et l'aéroacoustique. Deux axes ont …
l'optimisation de forme aérodynamique, l'aéroélasticité et l'aéroacoustique. Deux axes ont …