Two-time-scale inverse problems: formulation and solution

[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.

[发布机构] Laboratoire MSSMat (CentraleSupélec - CNRS UMR8579, Université Paris-Saclay), Grande Voie des Vignes, Châtenay-Malabry; 92290, France^1

[效力级别] 计算机科学 [学科分类] 计算机科学（综合）

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