Výsledky vyhľadávania - Multigrid preconditions conjugate gradient algorithm*

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 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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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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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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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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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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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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Spectrum of the Dirac operator and multigrid algorithm with dynamical staggered fermions Autor Kalkreuter, T

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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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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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An efficient topology optimization algorithm for large-scale three-dimensional structures Autor Vitorino, Alfredo, Gomes, Francisco A. M.

“… The robustness of the algorithm is ensured by adopting a globally convergent sequential linear programming method with a stopping criterion based on the first-order optimality conditions of the nonlinear problem…”
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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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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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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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Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints Autor Adavani, Santi S., Biros, George

“…We present a multigrid algorithm for the solution of source identification inverse problems constrained by variable-coefficient linear parabolic partial differential equations…”
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OPTIMAL SOLVERS FOR FOURTH-ORDER PDES DISCRETIZED ON UNSTRUCTURED GRIDS Autor ZHANG, SHUO, XU, JINCHAO

“…This paper provides a class of optimal algorithms for the linear algebraic systems arising from direct finite element discretization of the fourth-order equation with different boundary conditions…”
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