Periodic smoothing splines for FFT-based solvers

被引：6

作者：

Morin, Leo ^{[1
]}

Brenner, Renald ^{[2
]}

Derrien, Katell ^{[1
]}

Dorhmi, Khaoula ^{[1
]}

机构：

[1] HESAM Univ, CNRS, Lab PIMM, Arts & Metiers Inst Technol,Cnam, 151 Blvd Hop, F-75013 Paris, France

[2] Sorbonne Univ, CNRS, UMR 7190, Inst Jean Le Rond Alembert, F-75005 Paris, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2021年 / 373卷

关键词：

Fourier transforms; Smoothing splines; Spurious oscillations; Local fields; STATIC-FIELD DISLOCATION; FOURIER-BASED SCHEMES; MECHANICAL RESPONSE; NUMERICAL-METHOD; COMPOSITES; HOMOGENIZATION; TRANSFORMS; OPERATOR;

D O I：

10.1016/j.cma.2020.113549

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：22

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