Results 31 to 40 of about 37,446 (199)
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
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Modified DTS Iteration Methods for Spatial Fractional Diffusion Equations
Mathematics, 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
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Electronic 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
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The ILUCP Preconditioner [PDF]
PAMM, 2004 AbstractWe introduce a new incomplete LU‐type preconditioner which combines the advantages of Crout's formulation of Gaussian elimination with pivoting. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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General Framework of Preconditioners
, 2021 This chapter provides the general framework of preconditioning by additive and multiplicative Schwarz operators. Preconditioners are viewed from different angles: in the matrix form, variational form, and operator form. We discuss how to implement the preconditioner with the conjugate gradient method, the generalised minimum residual method, and with a
Stephan, EP, Tran, T
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Sparsifying preconditioner for soliton calculations [PDF]
Journal of Computational Physics, 2016 We develop a robust and efficient method for soliton calculations for nonlinear Schr dinger equations. The method is based on the recently developed sparsifying preconditioner combined with Newton's iterative method. The performance of the method is demonstrated by numerical examples of gap solitons in the context of nonlinear optics.
Lu, J, Ying, L
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Algorithms, 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
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Communication Avoiding ILU0 Preconditioner [PDF]
SIAM Journal on Scientific Computing, 2015 In this paper we present a communication avoiding ILU0 preconditioner for solving large linear systems of equations by using iterative Krylov subspace methods. Recent research has focused on communication avoiding Krylov subspace methods based on so-called s-step methods.
Grigori, Laura, Moufawad, Sophie
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Analysis of optimal preconditioners for CutFEM
Numerical Linear Algebra with Applications, 2022 AbstractIn this article, we consider a class of unfitted finite element methods for scalar elliptic problems. These so‐called CutFEM methods use standard finite element spaces on a fixed unfitted triangulation combined with the Nitsche technique and a ghost penalty stabilization.
Gross, Sven, Reusken, Arnold
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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
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