Results 61 to 70 of about 5,196 (222)
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio +1 more
wiley +1 more source
Multigrid Methods for Total Variation
Deanonymised version of the article submitted (and later accepted) to Scale-Space and Variational Methods (SSVM) 2025.
Felipe Guerra, Tuomo Valkonen
openaire +3 more sources
A new multilevel smoothing method for wavelet-based algebraic multigrid poisson problem solver
In contrast to the standard algebraic multigrid, the Wavelet-based Algebraic Multigrid method relies more strongly on the smoothing method because the coarse spaces are chosen a priori. So, it is very important to develop new smoother methods, especially
Fabio Henrique Pereira +2 more
doaj +1 more source
CFD Julia: A Learning Module Structuring an Introductory Course on Computational Fluid Dynamics
CFD Julia is a programming module developed for senior undergraduate or graduate-level coursework which teaches the foundations of computational fluid dynamics (CFD).
Suraj Pawar, Omer San
doaj +1 more source
An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems
ABSTRACT Additive overlapping Schwarz methods are iterative methods of the domain decomposition type for the solution of partial differential equations. Numerical and parallel scalability of these methods can be achieved by adding coarse levels. A successful coarse space, inspired by iterative substructuring, is the generalized Dryja–Smith–Widlund ...
Stephan Köhler, Oliver Rheinbach
wiley +1 more source
An Algorithm for Total Variation Inpainting Based on Nonlinear Multi-Grid Methods
Image inpainting refers to restoring a damaged image with missing information. The total variation (TV) inpainting model is one such method that simultaneously fills in the regions with available information from their surroundings and eliminates noises.
Chen Fei, Wang Mei-Qing, Lai Choi-Hong
doaj +1 more source
A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D
ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley +1 more source
In this paper, we introduce a novel classification framework for hyperspectral images (HSIs) by jointly employing spectral, spatial, and hierarchical structure information.
Yi Wang, Hexiang Duan
doaj +1 more source

