Results 1 to 10 of about 29,809 (206)
Parallel multigrid method for solving inverse problems [PDF]
MethodsX, 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
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Research of the Algebraic Multigrid Method for Electron Optical Simulator [PDF]
Entropy, 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
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The Mixed Finite Element Multigrid Method for Stokes Equations [PDF]
The Scientific World Journal, 2015 The stable finite element discretization of the Stokes problem produces a symmetric indefinite system of linear algebraic equations. A variety of iterative solvers have been proposed for such systems in an attempt to construct efficient, fast, and robust
K. Muzhinji, S. Shateyi, S. S. Motsa
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Multigrid accelerated simulations for Twisted Mass fermions [PDF]
EPJ Web of Conferences, 2018 Simulations at physical quark masses are affected by the critical slowing down of the solvers. Multigrid preconditioning has proved to deal effectively with this problem.
Bacchio Simone +2 more
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Numerical Linear Algebra with Applications, 2008 AbstractThis special issue contains papers from the Fourteenth Copper Mountain Conference on Multigrid Methods, held in the Colorado Rocky Mountains on March 22–27, 2009. The papers address a variety of applications and cover a breadth of topics, ranging from theory to high‐performance computing. Copyright © 2010 John Wiley & Sons, Ltd.
Mijalkovic, Slobodan Z +1 more
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On a Multigrid Method for Tempered Fractional Diffusion Equations
Fractal and Fractional, 2021 In this paper, we develop a suitable multigrid iterative solution method for the numerical solution of second- and third-order discrete schemes for the tempered fractional diffusion equation.
Linlin Bu, Cornelis W. Oosterlee
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Algebraic multigrid methods [PDF]
Acta Numerica, 2017 This paper provides an overview of AMG methods for solving large-scale systems of equations, such as those from discretizations of partial differential equations. AMG is often understood as the acronym of ‘algebraic multigrid’, but it can also be understood as ‘abstract multigrid’. Indeed, we demonstrate in this paper how and why an algebraic multigrid
Xu, Jinchao, Zikatanov, Ludmil
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Overlapping Domain Decomposition Method with Cascadic Multigrid for Image Restoration
Mathematics, 2023 In the process of image restoration, it is usually necessary to solve large-scale inverse problems, where the computational cost is very high for large or high-resolution images.
Zhaoteng Chu, Chenliang Li
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Nonlinear Multigrid Implementation for the Two-Dimensional Cahn–Hilliard Equation
Mathematics, 2020 We present a nonlinear multigrid implementation for the two-dimensional Cahn−Hilliard (CH) equation and conduct detailed numerical tests to explore the performance of the multigrid method for the CH equation.
Chaeyoung Lee +3 more
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SN 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
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