Two-time-scale inverse problems: formulation and solution

5th International Workshop on New Computational Methods for Inverse Problems

物理学;计算机科学

Puel, G.^1 ; Aubry, D.^1

Laboratoire MSSMat (CentraleSupélec - CNRS UMR8579, Université Paris-Saclay), Grande Voie des Vignes, Châtenay-Malabry

92290, France^1

关键词: Applied loading;    Homogenization scheme;    Homogenized model;    Identification strategies;    Periodic time;    Time-scales;    Two time scale;    Two-time scale model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/657/1/012005/pdf
DOI  :  10.1088/1742-6596/657/1/012005

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The aim here is to study two-time-scale models and their associated parameter identification. When it is possible to consider two well-separated time scales, and when the fast component of the applied loading is periodic, a periodic time homogenization scheme, similar to what exists in space homogenization, can be used to derive a homogenized model. A parameter identification process for this latter is then proposed, consisting in homogenizing with respect to time a classical identification strategy based on the use of adjoint state formulations; it is then applied to an academic example showing the benefits of such a strategy.