Results 1 to 10 of about 1,193 (178)
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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A Comparative Study on Signal Decomposition Techniques for Stimulated Raman Photoacoustic Microscopy. [PDF]
J BiophotonicsComparison of sO2 maps generated using signal decomposition methods.ABSTRACTIn this paper, we present a comparative study of signal decomposition techniques in multispectral photoacoustic microscopy (MS‐PAM) systems that are based on the use of stimulated Raman spectroscopy (SRS).
Khansari A +5 more
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Spherical multigrid neural operator for improving autoregressive global weather forecasting [PDF]
Scientific ReportsData-driven approaches for global weather forecasting have shown great potential. However, conventional architectures of these models struggle with spherical distortions, leading to unstable autoregressive forecasts.
Yifan Hu +6 more
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Multilevel augmented Lagrangian solvers for overconstrained contact formulations* [PDF]
ESAIM: Proceedings and Surveys, 2021 Multigrid methods for two-body contact problems are mostly based on special mortar discretizations, nonlinear Gauss-Seidel solvers, and solution-adapted coarse grid spaces. Their high computational efficiency comes at the cost of a complex implementation
Krause Rolf, Weiser Martin
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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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Multigrid methods for an elliptic optimal control problem with pointwise state constraints
Results in Applied Mathematics, 2023 We design multigrid methods for an elliptic distributed optimal control problem with pointwise state constraints. They are based on the P1 finite element method from Brenner et al.
Susanne C. Brenner +2 more
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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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Acta Scientiarum: Technology, 2022 In this work, we applied different extrapolation techniques in association with the multigrid method to discover which one is the most effective in reducing the iteration error and the processing time (CPU time), as well as in improving the convergence ...
Bruno Benato Rutyna +4 more
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A note on multigrid preconditioning for fractional PDE-constrained optimization problems
Results in Applied Mathematics, 2021 In this note we present a multigrid preconditioning method for solving quadratic optimization problems constrained by a fractional diffusion equation.
Harbir Antil +2 more
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