Results 1 to 10 of about 37,043 (186)
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
doaj +2 more sources
A Comparative Study on Signal Decomposition Techniques for Stimulated Raman Photoacoustic Microscopy [PDF]
Journal of Biophotonics, Volume 19, Issue 3, March 2026.Comparison 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).
Amir Khansari +5 more
wiley +2 more sources
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
doaj +2 more sources
Mathematics, 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
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
openaire +3 more sources
IEEE Access, 2022 The fast solution of three-dimensional eddy current problems is still an open problem, especially when real-size finite element models with millions of degrees of freedom are considered.
Federico Moro +4 more
doaj +1 more source
Multigrid renormalization [PDF]
Journal of Computational Physics, 2018 We combine the multigrid (MG) method with state-of-the-art concepts from the variational formulation of the numerical renormalization group. The resulting MG renormalization (MGR) method is a natural generalization of the MG method for solving partial differential equations.
Lubasch, M, Moinier, P, Jaksch, D
openaire +4 more sources
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
doaj +1 more source
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
openaire +2 more sources
Scalable Block Preconditioners for Linearized Navier-Stokes Equations at High Reynolds Number
Algorithms, 2020 We review a number of preconditioners for the advection-diffusion operator and for the Schur complement matrix, which, in turn, constitute the building blocks for Constraint and Triangular Preconditioners to accelerate the iterative solution of the ...
Filippo Zanetti, Luca Bergamaschi
doaj +1 more source