A block preconditioning technique for the streamfunction-vorticity formulation of the Navier-Stokes equations by Fairag, F, Wathen, A

“…We describe and test block preconditioners based on a Schur complement approximation which uses a multigrid method for finite element approximations of the linearized incompressible Navier-Stokes equations in streamfunction and vorticity formulation. …”

Surface roughness effect on thermohydrodynamic analysis of journal bearings lubricated with couple stress fluids by Awati Vishwanath B., Kengangutti Ashwini

“…A modified energy equation is simultaneously solved with heat transfer equation as well as modified Reynolds equation by using Multigrid method. The effects of couple stress and surface roughness on the performances of a finite journal bearing are presented in detail. …”
Get full text

Influence of short grooves on hydrodynamic lubrication of textured infinitely long sliders by Hao Fu, Yonghong Fu, Jinghu Ji, Shuchang Zhao, Xijun Hua

“…The study employs a multigrid method to calculate the distribution of hydrodynamic pressure and the average pressure of textured surfaces. …”
Get full text

A splitting iterative method for solving the neutron transport equation by Onana Awono, Jacques Tagoudjeu

“…The convergence of the method is numerically illustrated and compared with the standard Source Iteration method and multigrid method on sample problems in slab geometry and in two dimensional space. …”
Get full text

A new half-sweep algebraic multigrid (HSAMG) algorithm for two-point boundary problems by Sulaiman, Jumat, Othman, Mohamed, Hasan, Mohammad Khatim

“…The basic idea and formulation of the HSAMG algorithm are inspired by the concept of the half-sweep multigrid method. Some computational experiments have been conducted in order to show that the HSAMG method is superior to the standard algebraic method.…”
Get full text

An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow by Farrell, P

“…The preconditioner employs a specialized multigrid method for the stress-velocity block that involves a divergence-capturing space decomposition and a custom prolongation operator. …”

Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations by Sulaiman, Jumat, Othman, Mohamed, Hasan, Mohammad Khatim

“…In previous studies, the efficiency of the Half-Sweep Multigrid (HSMG) method has been shown to be very fast as compared with the standard multigrid method. This is due to its ability to reduce computational complexity of the standard method. …”
Get full text

A new multilevel smoothing method for wavelet-based algebraic multigrid poisson problem solver by Fabio Henrique Pereira, Kleber Rogério Moreira Prado, Silvio Ikuyo Nabeta

“…In contrast to the standard algebraic multigrid, the Wavelet-based Algebraic Multigrid method relies more strongly on the smoothing method because the coarse spaces are chosen a priori. …”
Get full text

The Effect of Multigrid Parameters in a 3D Heat Diffusion Equation by F. De Oliveira, S.R. Franco, M.A. Villela Pinto

“…The algebraic equations systems are solved using the lexicographical and red-black Gauss-Seidel methods, associated with the geometric multigrid method with a correction scheme (CS) and V-cycle. …”
Get full text

The numerical solution of elliptic partial differential equations by Phillips, T

“…The dynamic A.D.I. and multigrid methods are extended to solve the biharmonic equation. …”

Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization by Papadopoulos, IPA, Farrell, PE

“…An augmented Lagrangian term is used to control the innermost Schur complement, and we apply a geometric multigrid method with a kernel-capturing relaxation method for the augmented momentum block. …”

A new nine-point multigrid v-cycle algorithm by Norhashidah Hj. Mohd. Ali Yuzaimi Yunus, Mohamed Othman

“…The five-point method was shown to be very much faster compared to the fullsweep multigrid method due to Gupta et al. (1995). In this paper, we apply the multigrid V-cycle algorithm on the nine-point finite difference approximation derived from the rotated nine-point stencil (Ali & Abdullah 1998). …”

On segmentation model for vector valued images and fast iterative solvers by Noor Badshah, Fahim Ullah, Matiullah

“…We have developed a novel multigrid method based on a locally supported smoother. …”
Get full text

Effects of distribution density and location of subsurface particles on elastohydrodynamic lubrication by Keying Chen, Liangcai Zeng, Feilong Zheng, Juan Chen, Xianzhong Ding

“…In this study, the influence of different particle distribution parameters on the flow field for elastohydrodynamic lubrication (EHL) friction pairs is analyzed using a multigrid method. In particular, the effects of the particle distribution density and location on the tribological properties are examined. …”
Get full text

Geometric multigrid with multiplicative Schwarz smoothers for eddy-current and Maxwell’s equations in deal.II by Sebastian Kinnewig, Julian Roth, Thomas Wick

“…In this work, we consider the design of a geometric multigrid method with multiplicative Schwarz smoothers for the eddy-current problem and the time-harmonic Maxwell equations. …”
Get full text

An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at high Reynolds number by Farrell, P, Mitchell, L, Wechsung, F

“…The algorithm relies on a highly specialized multigrid method involving a custom prolongation operator and for robustness requires the use of piecewise constant finite elements for the pressure. …”

Spectral Analysis of the Finite Element Matrices Approximating 3D Linearly Elastic Structures and Multigrid Proposals by Quoc Khanh Nguyen, Stefano Serra-Capizzano, Cristina Tablino-Possio, Eddie Wadbro

“…The given theoretical analysis is used for designing and studying an optimal multigrid method in the sense that the (arithmetic) cost for solving the problem, up to a fixed desired accuracy, is linear in the corresponding matrix size. …”
Get full text

A fast constrained image segmentation algorithm by Iván Ojeda-Ruiz, Young-Ju Lee

“…We then show that the indefinite system can be effectively handled by the Augmented Lagrangian Uzawa iterative method together with a classical Algebraic Multigrid Method. Both mathematically and numerically, we demonstrate that the Augmented Lagrangian Uzawa method achieves a solution in one iteration. …”
Get full text

An implicit parallel multigrid computing scheme to solve coupled thermal-solute phase-field equations for dendrite evolution by Guo, Z, Mi, J, Grant, P

“…An implicit, second-order space and time discretization scheme together with a parallel multigrid method involving a strip grid domain partitioning has been developed to solve fully coupled, nonlinear phase field equations involving solute and heat transport for multiple solidifying dendrites. …”

Automated simulation of electrode processes: Quantitative mechanistic analysis via working surface interpolation by Alden, J, Compton, R

“…An efficient automated simulation of the transport-limited electrolysis in a channel flow cell, based on the multigrid method, is developed and is used to compute the working curve for the transport-limited current within the Lévêque approximation. …”