Results 21 to 30 of about 38,247 (298)
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
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A second-level diagonal preconditioner for single-step SNPBLUP
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
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A modified variant of HSS preconditioner for generalized saddle point problems
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
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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
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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
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Modified DTS Iteration Methods for Spatial Fractional Diffusion Equations
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
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Mixed-Dimensional Auxiliary Space Preconditioners [PDF]
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
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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
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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
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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
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