Periodic smoothing splines for FFT-based solvers - Archive ouverte HAL Access content directly
Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2021

Periodic smoothing splines for FFT-based solvers

Abstract

The aim of this paper is to develop a periodic smoother based on splines for FFT-based solvers. Spurious oscillations in FFT-based methods are shown to be due to pseudo-spectral differentiation of discontinuous fields. An automatic smoother based on polynomial splines is developed, which permits to add smoothness to initial material properties. The method, which is applied in various problems including conductivity, elasticity and field dislocation mechanics, improves significantly the local fields and reduces spurious oscillations.
Fichier principal
Vignette du fichier
PeriodicSmoothingSplines.pdf (11.15 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03025665 , version 1 (26-11-2020)

Identifiers

Cite

Léo Morin, Renald Brenner, Katell Derrien, Khaoula Dorhmi. Periodic smoothing splines for FFT-based solvers. Computer Methods in Applied Mechanics and Engineering, 2021, 373, pp.113549. ⟨10.1016/j.cma.2020.113549⟩. ⟨hal-03025665⟩
155 View
78 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More