Results 1 to 10 of about 1,521 (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
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An introduction to algebraic multigrid [PDF]
Computing in Science and Engineering, 2006 Algebraic multigrid (AMG) solves linear systems based on multigrid principles, but in a way that only depends on the coefficients in the underlying matrix. The author begins with a basic introduction to AMG methods, and then describes some more recent advances and theoretical ...
exaly +2 more sources
New approach to far field analysis for radiation pattern estimation using FDTD method [PDF]
Serbian Journal of Electrical Engineering, 2014 In this paper an approach to efficient computation of radiation pattern in FDTD simulation environment is presented. A necessary large distance from the radiating object is achieved by multigrid space discretization with unilaterally connected ...
Nikolić Bojana +4 more
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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
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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.
Michael Lubasch +2 more
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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
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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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A Bootstrap Multigrid Eigensolver
SIAM Journal on Matrix Analysis and Applications, 2022 This paper introduces bootstrap multigrid methods for solving eigenvalue problems arising from the discretization of partial differential equations. Inspired by the full bootstrap algebraic multigrid (BAMG) setup algorithm that includes an AMG eigensolver, it is illustrated how the algorithm can be simplified for the case of a discretized partial ...
James J. Brannick, Shuhao Cao
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Lattice QCD Calculation and Optimization on ARM Processors [PDF]
Jisuanji kexue, 2023 Lattice quantum chromodynamics(lattice QCD) is one of the most important applications of large-scale parallel computing in high energy physics,researches in this field usually consume a large amount of computing resources,and its core is to solve the ...
SUN Wei, BI Yujiang, CHENG Yaodong
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Autotuning multigrid with PetaBricks [PDF]
Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, 2009 Algorithmic choice is essential in any problem domain to realizing optimal computational performance. Multigrid is a prime example: not only is it possible to make choices at the highest grid resolution, but a program can switch techniques as the problem is recursively attacked on coarser grid levels to take advantage of algorithms with different ...
Cy P. Chan +4 more
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