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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.
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Contributor : Léo Morin <>
Submitted on : Thursday, November 26, 2020 - 1:10:09 PM
Last modification on : Tuesday, December 8, 2020 - 3:33:59 AM
Long-term archiving on: : Saturday, February 27, 2021 - 7:07:54 PM


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



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