Results 11 to 20 of about 5,196 (222)
Multigrid methods for isogeometric discretization
Computer Methods in Applied Mechanics and Engineering, 2013 We present (geometric) multigrid methods for isogeometric discretization of scalar second order elliptic problems. The smoothing property of the relaxation method, and the approximation property of the intergrid transfer operators are analyzed. These properties, when used in the framework of classical multigrid theory, imply uniform convergence of two ...
K P S Gahalaut +2 more
exaly +7 more sources
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
Jinchao Xu, Ludmil T. Zikatanov
openaire +3 more sources
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
doaj +2 more sources
FENCE: Flexible Electric Noise Reduction Endo‐Shield for the Suppression of Electromagnetic Interference in Low‐Field MRI [PDF]
NMR in Biomedicine, Volume 39, Issue 6, June 2026.Electromagnetic interference (EMI) is a significant challenge for low‐field MRI. Traditional EMI mitigation approaches either limit portability or demand advanced hardware. We present FENCE (Flexible Electromagnetic Noise reduCtion Endo‐shield), a novel approach for EMI mitigation using flexible PCBs placed inside the RF coil.
Julia Pfitzer +2 more
wiley +2 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
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
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
doaj +1 more source
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
doaj +1 more source
Monolithic Multigrid Methods for Magnetohydrodynamics
SIAM Journal on Scientific Computing, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
James H. Adler +5 more
openaire +3 more sources
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
doaj +1 more source