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

共 50 条

[21] Evaluation of FFT-based cross-correlation algorithms for PIV in a periodic grooved channel
R. Gilbert
D. A. Johnson
Experiments in Fluids, 2003, 34 (4) : 473 - 483
[22] AN FFT-BASED SPEECH RECOGNITION SYSTEM
HOPPER, G
ADHAMI, R
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1992, 329 (03): : 555 - 562
[23] FFT-BASED SPECTRAL-ANALYSIS
ANDRIYANOV, AV
TELECOMMUNICATIONS AND RADIO ENGINEERING, 1986, 40-1 (08) : 130 - 132
[24] FFT-based fast polynomial rooting
Hoteit, L
ELECTRONICS LETTERS, 1999, 35 (12) : 965 - 966
[25] FFT-BASED ANALOG BEAMFORMING PROCESSOR
GUABATZ, DA
IEEE TRANSACTIONS ON SONICS AND ULTRASONICS, 1977, 24 (02): : 132 - 132
[26] FFT-based joint bearing estimation
MacInnes, CS
IEEE JOURNAL OF OCEANIC ENGINEERING, 2002, 27 (04) : 774 - 779
[27] FFT-based fast polynomial rooting
Hoteit, L
2000 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS, VOLS I-VI, 2000, : 3315 - 3318
[28] Contour smoothing based on weighted smoothing splines
Malva, LMO
DEVELOPMENTS IN SPATIAL DATA HANDLING, 2005, : 125 - 136
[29] FFT-Based Dynamic Token Mixer for Vision
Tatsunami, Yuki
Taki, Masato
THIRTY-EIGHTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, VOL 38 NO 14, 2024, : 15328 - 15336
[30] Parallel distributed FFT-based solvers for 3-D Poisson problems in Meso-scale atmospheric simulations
Giraud, L
Guivarch, R
Stein, J
INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS, 2001, 15 (01): : 36 - 46

← 1 2 3 4 5 →