Results 31 to 40 of about 9,757 (303)
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
Preconditioner Design via the Bregman Divergence [PDF]
, 2023 We study a preconditioner for a Hermitian positive definite linear system, which is obtained as the solution of a matrix nearness problem based on the Bregman log determinant divergence.
Bock, Andreas, Andersen, Martin S.
core +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
An alternating preconditioner for saddle point problems [PDF]
, 2010 Based on matrix splittings, a new alternating preconditioner with two parameters is proposed for solving saddle point problems. Some theoretical analyses for the eigenvalues of the associated preconditioned matrix are given.
Peng, Xiao-Fei, Li, Wen
core +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
Development of a Scalable Thermal Reservoir Simulator on Distributed-Memory Parallel Computers
Fluids, 2021 Reservoir simulation is to solve a set of fluid flow equations through porous media, which are partial differential equations from the petroleum engineering industry and described by Darcy’s law.
Hui Liu +3 more
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 +2 more sources
Enhanced preconditioner for JOREK MHD solver [PDF]
, 2021 The JOREK extended magneto-hydrodynamic (MHD) code is a widely used simulation tool for studying the non-linear dynamics of large-scale instabilities in divertor tokamak plasmas.
Huijsmans, G. +7 more
core +2 more sources
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
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
doaj +1 more source