Results 71 to 80 of about 2,786 (218)
Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication
, 2014 In this paper we introduce a new approach for reducing communication in Krylov subspace methods that consists of enlarging the Krylov subspace by a maximum of t vectors per iteration, based on the domain decomposition of the graph of A.
Moufawad, Sophie +2 more
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Forward and Adjoint Calculations of Gravitational Potential in Heterogeneous, Aspherical Planets
Earth and Space Science, Volume 13, Issue 5, May 2026.Abstract We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels, in an aspherical, heterogeneous planet. We detail our implementation, utilizing a transformation of the Poisson equation into a spherical reference domain, as well
Alex D. C. Myhill +2 more
wiley +1 more source
International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
wiley +1 more source
A Class of Preconditioners for Large Indefinite Linear Systems, as by-product of Krylov subspace Methods: Part II [PDF]
In this paper we consider the parameter dependent class of preconditioners M(a,d,D) defined in the companion paper The latter was constructed by using information from a Krylov subspace method, adopted to solve the large symmetric linear system Ax = b ...
Massimo Roma, Giovanni Fasano
core
AlgorithmsGMRES is one of the most powerful and popular methods to solve linear systems in the Krylov subspace; we examine it from two viewpoints: to maximize the decreasing length of the residual vector, and to maintain the orthogonality of the consecutive ...
Chein-Shan Liu +2 more
doaj +1 more source
A note on augmented unprojected Krylov subspace methods
ETNA - Electronic Transactions on Numerical Analysis, 2022 14 pages, 4 ...
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
Combining Krylov subspace methods and identification-based methods for model order reduction [PDF]
, 2006 Many different techniques to reduce the dimensions of a model have been proposed in the near past. Krylov subspace methods are relatively cheap, but generate non-optimal models.
Deschrijver, D +8 more
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Two Preconditioners for Time-Harmonic Eddy-Current Optimal Control Problems
MathematicsIn this paper, we consider the numerical solution of a large complex linear system with a saddle-point form obtained by the discretization of the time-harmonic eddy-current optimal control problem.
Xin-Hui Shao, Jian-Rong Dong
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Comparison of Krylov subspace methods on the PageRank problem
Journal of Computational and Applied Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DEL CORSO, GIANNA MARIA +2 more
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