Results 31 to 40 of about 14,981 (281)
Fast Methods for Solving High Accuracy Surface Modeling
Journal of Algorithms & Computational Technology, 2013 High accuracy surface modeling (HASM) is a novel surface modeling method. The well known preconditioned conjugate gradient (PCG) method is used to solve the equations produced by HASM.
Na Zhao, Tian Xiang Yue
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Mathematical Modelling and Analysis, 2013 A preconditioned iterative solution method is presented for nonlinear parabolic transport systems. The ingredients are implicit Euler discretization in time and finite element discretization in space, then an outer-inner (outer damped inexact Newton ...
Janos Karatson, Tamas Kurics
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Fast Meshless Reanalysis Using Combined Approximations, Preconditioned Conjugate Gradient, and Taylor Series [PDF]
, 2006 Multiple design iterations often require repeated stress analyses to be performed as the design is modified slightly. A method is presented that combines the meshless stress analysis method with a reanalysis technique to avoid repeating the time-consuming
Chipperfield, Kurt +3 more
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Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring [PDF]
SIAM Journal on Scientific Computing, 2005 The authors provide a systematic spectral analysis of circulant superoptimal preconditioners for Toeplitz structured linear systems arising from image deblurring. They also study the computational complexity for the computation of superoptimal approximations and present a detailed documentation of numerical results.
DI BENEDETTO, FABIO +2 more
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A fast, preconditioned conjugate gradient toeplitz solver
Computers & Mathematics with Applications, 1992 The paper describes a fast Toeplitz solver based on the preconditioned conjugate gradient (CG) method. First it describes a factorization of an arbitrary Hermitian, positive definite matrix \(A=(A+\mu I)(I-\mu(A+\mu I)^{-1})\), where \(\mu\) is a parameter.
Pan, Victor, Schreiber, Robert
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Corrigendum: Block Preconditioning for the Conjugate Gradient Method [PDF]
SIAM Journal on Scientific and Statistical Computing, 1985 Concerns the authors' paper [ibid. 6, 220-252 (1985; Zbl 0556.65022)].
Concus, P., Golub, G. H., Meurant, G.
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Results in Applied Mathematics, 2019 An improved preconditioned conjugate gradient squared (PCGS) algorithm has recently been proposed, and it performs much better than the conventional PCGS algorithm.
Shoji Itoh, Masaaki Sugihara
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Preconditioned conjugate gradient methods for three‐dimensional linear elasticity [PDF]
International Journal for Numerical Methods in Engineering, 1994 AbstractFinite element modelling of three‐dimensional elasticity problems give rise to large sparse matrices. Various preconditioning methods are developed for use in preconditioned conjugate gradient iterative solution techniques. Incomplete factorizations based on levels of fill, drop tolerance, and a two‐level hierarchical basis are developed ...
Dickinson, J. K., Forsyth, P A.
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m-Step Preconditioned Conjugate Gradient Methods [PDF]
SIAM Journal on Scientific and Statistical Computing, 1985 The paper deals with the solution of a sparse system of symmetric positive definite linear equations by preconditioned conjugate gradient methods. Necessary and sufficient conditions are found for the applicability of preconditioners that are based on taking m steps of an iterative method. The computer implementation of these methods is discussed.
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Refined Isogeometric Analysis for a preconditioned conjugate gradient solver [PDF]
Computer Methods in Applied Mechanics and Engineering, 2018 Starting from a highly continuous Isogeometric Analysis (IGA) discretization, refined Isogeometric Analysis (rIGA) introduces $C^0$ hyperplanes that act as separators for the direct LU factorization solver. As a result, the total computational cost required to solve the corresponding system of equations using a direct LU factorization solver ...
Daniel Garcia +3 more
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