Results 1 to 10 of about 5,196 (222)

Parallel multigrid method for solving inverse problems [PDF]

open access: yesMethodsX, 2022
We considered in this work the linear operator equation and used the Landweber iterative method as an iterative solver. After that, we used the multigrid method as an optimization method for obtaining an approximation solution with a highly accurate and ...
H.K. Al-Mahdawi   +5 more
doaj   +2 more sources

Research of the Algebraic Multigrid Method for Electron Optical Simulator [PDF]

open access: yesEntropy, 2022
At present, electron optical simulator (EOS) takes a long time to solve linear FEM systems. The algebraic multigrid preconditioned conjugate gradient (AMGPCG) method can improve the efficiency of solving systems.
Zhi Wang   +7 more
doaj   +2 more sources

An Aggregation-Based Algebraic Multigrid Method with Deflation Techniques and Modified Generic Factored Approximate Sparse Inverses

open access: yesMathematics, 2023
In this paper, we examine deflation-based algebraic multigrid methods for solving large systems of linear equations. Aggregation of the unknown terms is applied for coarsening, while deflation techniques are proposed for improving the rate of convergence.
Anastasia A. Natsiou   +3 more
doaj   +1 more source

Special issue on multigrid methods [PDF]

open access: yesComputing and Visualization in Science, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Artem Napov   +2 more
openaire   +3 more sources

A multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering

open access: yesOpen Mathematics, 2023
Numerical methods for computing Steklov eigenvalues have attracted the attention of academia for their important physical background and wide applications.
Xie Jiali, Bi Hai
doaj   +1 more source

An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection–diffusion equations

open access: yesAdvances in Difference Equations, 2018
In this paper, we propose an extrapolation full multigrid (EXFMG) algorithm to solve the large linear system arising from a fourth-order compact difference discretization of two-dimensional (2D) convection diffusion equations.
Ming Li, Zhoushun Zheng, Kejia Pan
doaj   +1 more source

Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis

open access: yesSN Applied Sciences, 2022
Article Highlights The use of a p-multigrid method significantly reduces the CPU timings for higher values of the spline degree. The Multigrid Reduction in Time method shows both strong and weak scalability up to 2048 cores.
Roel Tielen   +2 more
doaj   +1 more source

Adaptive Multigrid Methods in MPI [PDF]

open access: yes, 2000
Adaptive multigrid methods solve partial differential equations through a discrete representation of the domain that introduces more points in those zones where the equation behavior is highly irregular. The distribution of the points changes at run time in a way that cannot be foreseen in advance.
BAIARDI, FABRIZIO   +3 more
openaire   +2 more sources

XAMG: A library for solving linear systems with multiple right-hand side vectors

open access: yesSoftwareX, 2021
This paper presents the XAMG library for solving large sparse systems of linear algebraic equations with multiple right-hand side vectors. The library specializes, but is not limited, to the solution of linear systems obtained from the discretization of ...
Boris Krasnopolsky, Alexey Medvedev
doaj   +1 more source

Application of multigrid NLS-4DVar in radar radial velocity data assimilation with WRF-ARW

open access: yesAtmospheric and Oceanic Science Letters, 2019
The nonlinear least-squares four-dimensional variational assimilation (NLS-4DVar) method introduced here combines the merits of the ensemble Kalman filter and 4DVar assimilation methods.
Lu ZHANG, Xiangjun TIAN, Hongqin ZHANG
doaj   +1 more source

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