Wavelet-based multiscale proper generalized decomposition

被引：4

作者：

Leon, Angel ^{[1
]}

Barasinski, Anais ^{[1
]}

Abisset-Chavanne, Emmanuelle ^{[2
,3
]}

Cueto, Elias ^{[4
]}

Chinesta, Francisco ^{[5
,6
]}

机构：

[1] Ecole Cent Nantes, GeM Inst, 1 Rue Noe,BP 92101, F-44321 Nantes 3, France

[2] Ecole Cent Nantes, High Performance Comp Inst, 1 Rue Noe,BP 92101, F-44321 Nantes 3, France

[3] Ecole Cent Nantes, ESI Grp Chair, 1 Rue Noe,BP 92101, F-44321 Nantes 3, France

[4] Univ Zaragoza, I3A, Maria de Luna S-N, Zaragoza 50018, Spain

[5] ENSAM ParisTech, PIMM Lab, 151 Blvd Hop, F-75013 Paris, France

[6] ENSAM ParisTech, ESI Grp Chair, 151 Blvd Hop, F-75013 Paris, France

来源：

COMPTES RENDUS MECANIQUE | 2018年 / 346卷 / 07期

关键词：

Wavelets; Proper Generalized Decomposition; Multi-resolution; Multi-scale PGD; GALERKIN METHOD; SOLVERS; FAMILY;

D O I：

10.1016/j.crme.2018.04.013

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Separated representations at the heart of Proper Generalized Decomposition are constructed incrementally by minimizing the problem residual. However, the modes involved in the resulting decomposition do not exhibit a clear multi-scale character. In order to recover a multi-scale description of the solution within a separated representation framework, we study the use of wavelets for approximating the functions involved in the separated representation of the solution. We will prove that such an approach allows separating the different scales as well as taking profit from its multi-resolution behavior for defining adaptive strategies. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. This is an open access article under the CC BY-NC-ND license.

引用

页码：485 / 500

页数：16

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