Results 21 to 30 of about 1,275 (267)
Zhejiang Daxue xuebao. Lixue ban, 2017 Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1, 1)-block.
ZHANGLitao(张理涛) +2 more
doaj +1 more source
A second-level diagonal preconditioner for single-step SNPBLUP
Genetics Selection Evolution, 2019 Background The preconditioned conjugate gradient (PCG) method is an iterative solver of linear equations systems commonly used in animal breeding. However, the PCG method has been shown to encounter convergence issues when applied to single-step single ...
Jeremie Vandenplas +3 more
doaj +1 more source
Nihon Kikai Gakkai ronbunshu, 2015 Actual problems in science and industrial applications are modeled by multi-materials and large-scale unstructured mesh, and the finite element analysis has been widely used to solve such problems on the parallel computer.
Masao OGINO
doaj +1 more source
A dimension expanded preconditioning technique for block two-by-two linear equations
Demonstratio Mathematica, 2023 In this article, we introduce a novel block preconditioner for block two-by-two linear equations by expanding the dimension of the coefficient matrix. Theoretical results on the eigenvalues distribution of the preconditioned matrix are obtained, and a ...
Luo Wei-Hua, Carpentieri Bruno, Guo Jun
doaj +1 more source
Accelerating the Convergence of Multiphase Flow Simulations when Employing Non-Uniform Structured Grids [PDF]
Journal of Applied and Computational Mechanics, 2021 Non-uniform grids inevitably arise in multiphase flow simulation scenarios due to the need to resolve near-wall phenomena and/or large L/D ratios associated with the reactor configuration.
Gautham Krishnamoorthy +2 more
doaj +1 more source
A Multipole Approach for Preconditioners [PDF]
, 2002 A new class of approximate inverse preconditioners is presented for solving large linear systems with an iterative method. It is at the intersection of multipole, multigrid and SPAI methods. The method consists in approximating the inverse of a matrix by a block constant matrix, instead of approximating it by a sparse matrix as in SPAI methods. It does
Ph. Guillaume, A. Huard, C. Le Calvez
openaire +1 more source
A modified variant of HSS preconditioner for generalized saddle point problems
Advances in Mechanical Engineering, 2022 Recently, Zhang [Numerical Linear Algebra with Applications, 2018: e2166] constructed an efficient variant of Hermitian and skew-Hermitian splitting (HSS) preconditioner for generalized saddle point problems, and gave the corresponding theoretical ...
Li-Tao Zhang, Yi-Fan Zhang
doaj +1 more source
Preconditioners for nonconforming discretizations [PDF]
Mathematics of Computation, 1996 We prove an abstract norm equivalence for a two-level method, which allows us to reduce the construction of preconditioners for nonconforming finite element discretizations to known cases of conforming elements.
openaire +1 more source
Journal of Applied Mathematics, 2012 We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the ...
Jia Liu
doaj +1 more source
A theory of secant preconditioners [PDF]
Mathematics of Computation, 1993 In this paper we analyze the use of structured quasi-Newton formulae as preconditioners of iterative linear methods when the inexact-Newton approach is employed for solving nonlinear systems of equations. We prove that superlinear convergence and bounded work per iteration is obtained if the preconditioners satisfy a Dennis-Moré condition. We develop a
openaire +1 more source