Výsledky vyhledávání - Multigrid preconditions conjugate gradient algorithm

A Parallel Multigrid Preconditioned Conjugate Gradient Algorithm for Groundwater Flow Simulations Autor Ashby, Steven F., Falgout, Robert D.

“… The focus is on the performance of a parallel multigrid preconditioner for accelerating convergence of conjugate gradients, which is used to compute the pressure head…”
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Alya toward exascale: algorithmic scalability using PSCToolkit Autor Owen, Herbert, Lehmkuhl, Oriol, D’Ambra, Pasqua, Durastante, Fabio, Filippone, Salvatore

“… methods coupled to Algebraic MultiGrid preconditioners. The Toolkit has undergone various extensions within the EoCoE-II project with the primary…”
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A Rigorous Condition Number Estimate of an Immersed Finite Element Method Autor Wang, Saihua, Wang, Feng, Xu, Xuejun

“…It is known that the convergence rate of the traditional iteration methods like the conjugate gradient method depends on the condition number of the stiffness matrix…”
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Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness Autor Peng, Zhichao, Appelö, Daniel, Liu, Shuang

“… When the system needs to be inverted we can use the conjugate gradient method, accelerated by algebraic multigrid techniques…”
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A High Order Compact Time/Space Finite Difference Scheme for the Wave Equation with Variable Speed of Sound Autor Britt, Steven, Turkel, Eli, Tsynkov, Semyon

“… Fast time marching of the implicit scheme is accomplished by iterative methods such as conjugate gradient and multigrid…”
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Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jumpcoefficients Autor Zhu, Yunrong

“… We showed that the convergence rates of the (multiplicative) two-grid and multigrid V-cycle algorithms will deteriorate rapidly because of large jumps in coefficient…”
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Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning Autor Knyazev, Andrew V., Lashuk, Ilya

“…We analyze the conjugate gradient (CG) method with variable preconditioning for solving a linear system with a real symmetric positive definite (SPD…”
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Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jump coefficients Autor Zhu, Yunrong

“… We showed that the convergence rates of the (multiplicative) two‐grid and multigrid V‐cycle algorithms will deteriorate rapidly because of large jumps in coefficient…”
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Electrical-Thermal Cosimulation With Nonconformal Domain Decomposition Method for Multiscale 3-D Integrated Systems Autor Xie, Jianyong, Swaminathan, Madhavan

“… preconditioned conjugate gradient method is used…”
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The deflated conjugate gradient method: Convergence, perturbation and accuracy Autor Kahl, K., Rittich, H.

“… First we show that the effective condition number which bounds the convergence rate of the deflated conjugate gradient method depends asymptotically linearly on the size of the perturbations in the deflation subspace…”
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Application of Parallel Algebraic Multigrid Algorithms in Geophysics Autor Rui, Chen, Han-dong, Tan

“… In this paper, the algebraic multigrid preconditioned methods and conjugate gradient solution process are adopted to conduct parallel processing in combination of graphics processing unit (GPU…”
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Multigrid Algorithm for Immersed Finite Element Discretizations of Elliptic Interface Problems Autor Chu, Hanyu, Song, Yongzhong, Ji, Haifeng, Cai, Ying

“… We prove that the convergence of W-cycle multigrid algorithm and the condition number of the variable V-cycle as preconditioner are optimal by verifying the regularity-approximation assumption…”
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Three-dimensional forward modeling of DC resistivity using the aggregation-based algebraic multigrid method Autor Chen, Hui, Deng, Ju-Zhi, Yin, Min, Yin, Chang-Chun, Tang, Wen-Wu

“… Then, we introduce the theory behind the pairwise aggregation algorithms for AGMG and use the conjugate-gradient method with the V-cycle AGMG preconditioner (AGMG-CG…”
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2.5-D and 3-D DC resistivity modelling using an extrapolation cascadic multigrid method Autor Pan, Kejia, Tang, Jingtian

“…Multigrid methods are well known for their high efficiency in solving elliptic boundary value problems…”
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On the Regularizing Power of Multigrid-type Algorithms Autor Donatelli, Marco, Serra-Capizzano, Stefano

“…, conjugate gradient, Landweber, conjugate gradient for normal…”
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Spectrum of the Dirac operator and multigrid algorithm with dynamical staggered fermions Autor Kalkreuter, T

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An accurate and efficient method for the incompressible Navier–Stokes equations using the projection method as a preconditioner Autor Griffith, Boyce E.

“… Since our scheme is not a fractional-step algorithm, it is straightforward to specify general physical boundary conditions accurately…”
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Primal-dual interior-point multigrid method for topology optimization Autor Kocvara, Michal, Sudaba Mohammed

“… This method is also equipped with the multigrid preconditioned conjugate gradient algorithm…”
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Integrated surface–groundwater flow modeling: A free-surface overland flow boundary condition in a parallel groundwater flow model Autor Kollet, Stefan J., Maxwell, Reed M.

“… These types of models link the subsurface and surface domains via an exchange flux that depends upon the magnitude and direction of the hydraulic gradient across the interface and a proportionality constant…”
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A parallel fictitious domain multigrid preconditioner for the solution of Poisson’s equation in complex geometries Autor Singh, K.M., Williams, J.J.R.

“…A parallel multilevel preconditioner based on domain decomposition and fictitious domain methods has been presented for the solution of the Poisson equation in…”
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