Results 21 to 30 of about 38,247 (298)

解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems)

open access: yesZhejiang 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

open access: yesGenetics 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

A modified variant of HSS preconditioner for generalized saddle point problems

open access: yesAdvances 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

A preconditioned new modulus-based matrix splitting method for solving linear complementarity problem of $ H_+ $-matrices

open access: yesElectronic Research Archive, 2023
For solving the linear complementarity problem (LCP), we propose a preconditioned new modulus-based matrix splitting (PNMMS) iteration method by extending the state-of-the-art new modulus-based matrix splitting (NMMS) iteration method to a more general ...
Dongmei Yu, Yifei Yuan, Yiming Zhang
doaj   +1 more source

Finite element analysis of multi-material models using a balancing domain decomposition method combined with the diagonal scaling preconditioner

open access: yesNihon 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

Modified DTS Iteration Methods for Spatial Fractional Diffusion Equations

open access: yesMathematics, 2023
For the discretized linear systems of the spatial fractional diffusion equations, we construct a class of a modified DTS iteration method and give its asymptotic convergence conditions.
Xin-Hui Shao, Chong-Bo Kang
doaj   +1 more source

Mixed-Dimensional Auxiliary Space Preconditioners [PDF]

open access: yesSIAM Journal on Scientific Computing, 2020
This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this setting. With the use of conforming mixed finite element spaces, we then expand these results to the discrete case and obtain a ...
Budisa, Ana, Boon, Wietse, Hu, Xiaozhe
openaire   +4 more sources

A divergence-free method of collocations and least squares for the computation of incompressible fluid flows and its efficient implementation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The problem of the acceleration of the iterative process of numerical solution by the collocation and least squares (CLS) method of boundary value problems for partial differential equations is considered.
Evgenii Vasil'evich Vorozhtsov   +1 more
doaj   +1 more source

A Comparative Study of Block Incomplete Sparse Approximate Inverses Preconditioning on Tesla K20 and V100 GPUs

open access: yesAlgorithms, 2021
Incomplete Sparse Approximate Inverses (ISAI) has shown some advantages over sparse triangular solves on GPUs when it is used for the incomplete LU based preconditioner.
Wenpeng Ma, Wu Yuan, Xiazhen Liu
doaj   +1 more source

New Preconditioned Iteration Method Solving the Special Linear System from the PDE-Constrained Optimal Control Problem

open access: yesMathematics, 2021
In many fields of science and engineering, partial differential equation (PDE) constrained optimal control problems are widely used. We mainly solve the optimization problem constrained by the time-periodic eddy current equation in this paper. We propose
Yan-Ran Li, Xin-Hui Shao, Shi-Yu Li
doaj   +1 more source

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