Search Results - Multigrid preconditioned conjugate gradient algorithm

A Parallel Multigrid Preconditioned Conjugate Gradient Algorithm for Groundwater Flow Simulations by 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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Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography by Yang, Qiang, Vogel, Curtis R, Ellerbroek, Brent L

“…) algorithm for atmospheric tomography, and we compare its performance against an existing multigrid preconditioned conjugate gradient (MG-PCG) approach…”
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Integrated surface–groundwater flow modeling: A free-surface overland flow boundary condition in a parallel groundwater flow model by 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 scalable memory efficient multigrid solver for micro-finite element analyses based on CT images by Flaig, Cyril, Arbenz, Peter

“… ► Voxel-based approach avoids building element-to-node table and stiffness matrix. ► Conjugate gradient algorithm with matrix-free geometric multigrid preconditioner…”
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Preconditioned Conjugate Gradient and Multigrid Methods for Numerical Solution of Multicomponent Mass Transfer Equations II. Convection-Diffusion-Reaction Equations by Juncu, Gheorghe, Nicola, Aurelian, Popa, Constantin, Stroila, Elena

“… (the Full Approximation Storage algorithm) method and modified Picard preconditioned conjugate gradient methods for the numerical solution of the two-dimensional, steady-state, multicomponent mass transfer equations…”
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Preconditioned Conjugate Gradient and Multigrid Methods for Numerical Solution of Multicomponent Mass Transfer Equations I. Diffusion-Reaction Equations by Juncu, Gheorghe, Nicola, Aurelian, Popa, Constantin, Stroila, Elena

“…In a series of two papers, we analyze the numerical performances of the preconditioned conjugate gradient algorithms (BICGSTAB and GMRES…”
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A fast parallel Poisson solver on irregular domains applied to beam dynamics simulations by Adelmann, A., Arbenz, P., Ineichen, Y.

“…’ nonsymmetric positive definite. In all cases, the system is solved by the preconditioned conjugate gradient algorithm with smoothed aggregation (SA…”
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Phase retrieval using the transport of intensity equation solved by the FMG–CG method by Xue, Bindang, Zheng, Shiling

“…). The phase distribution can thus be uniquely determined by solving TIE. In this study, a full multigrid preconditioned conjugate gradient (FMG–CG…”
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Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jumpcoefficients by 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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Effective multigrid algorithms for algebraic system arising from static peridynamic systems by Jo, Gwanghyun, Ha, Youn Doh

“… In this work, we propose multigrid algorithms for implicit discretizations of static peridynamic systems…”
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Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jump coefficients by 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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DC3DPAFEM: An efficient and accurate 3-D direct current resistivity anisotropic forward modeling software for complex geological settings by Qiu, Lewen, Liu, Zhengguang, Yao, Hongbo, Tang, Jingtian

“…Nowadays, there is a growing trend that direct current (DC) field surveys are shifting towards challenging areas characterized by mountainous topography and…”
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Multigrid preconditioned conjugate-gradient solver for mixed finite-element method by Wilson, John David, Naff, Richard L.

“… A preconditioned conjugate-gradient algorithm is used for solving the Schur complement problem. The mixed finite-element method is closely related to the cell-centered finite…”
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Solution of the Navier-Stokes equations using Projection method and preconditioned Conjugated Gradient with Multigrid and ILU solver by Anunciação, M., Villela Pinto, M. Augusto, Neundorf, R.

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Optimizing Multi-Grid Preconditioned Conjugate Gradient Method on Multi-Cores by Yuan, Fan, Yang, Xiaojian, Li, Shengguo, Dong, Dezun, Huang, Chun, Wang, Zheng

“…Multigrid preconditioned conjugate gradient (MGPCG) is commonly used in high-performance computing (HPC) workloads…”
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A scalable multi-level preconditioner for matrix-free µ-finite element analysis of human bone structures by Arbenz, Peter, van Lenthe, G. Harry, Mennel, Uche, Müller, Ralph, Sala, Marzio

“…The recent advances in microarchitectural bone imaging disclose the possibility to assess both the apparent density and the trabecular microstructure of intact…”
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A Moment-Parity Multigrid Preconditioner for the First-Order System Least-Squares Formulation of the Boltzmann Transport Equation by Brown, P. N., Lee, B., Manteuffel, T. A.

“…This paper describes a preconditioned conjugate gradient scheme for the Pn-h finite element discretization of a first-order system least-squares (FOSLS…”
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Goal-oriented adaptive finite element methods with optimal computational complexity by Becker, Roland, Gantner, Gregor, Innerberger, Michael, Praetorius, Dirk

“… of a contractive iterative solver like the optimally preconditioned conjugate gradient method or geometric multigrid…”
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A new box iterative method for a class of nonlinear interface problems with application in solving Poisson–Boltzmann equation by Xie, Dexuan, Ying, Jinyong

“… Furthermore, a modified Newton minimization algorithm accelerated by a multigrid preconditioned conjugate gradient method is presented to efficiently solve each involved nonlinear boundary value problem…”
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Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials by Jönsthövel, T. B., van Gijzen, M. B., MacLachlan, S., Vuik, C., Scarpas, A.

“… The discontinuities in material stiffness give rise to many small eigenvalues that negatively affect the convergence of iterative solution algorithms such as the preconditioned conjugate gradient (PCG) method…”
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