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Periodic smoothing splines for FFT-based solvers

Article dans une revue avec comité de lecture
Author
MORIN, Léo
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
BRENNER, Renald
541882 Institut Jean Le Rond d'Alembert [DALEMBERT]
DERRIEN, Katell
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
DORHMI, Khaoula
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/19944
DOI
10.1016/j.cma.2020.113549
Date
2021
Journal
Computer Methods in Applied Mechanics and Engineering

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.

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