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Place sc.046 - Bouygues building - CentraleSupélec
Isogeometric analysis: non-intrusive coupling with the finite element method and regularization in the field of photomechanics.
Abstract
The objective of the presentation is to shed new light on IsoGeometric Analysis (IGA) with respect to the more classical Finite Element Method (FEM), by showing that it can be implemented on top of a FE code in order to improve the solution of problems requiring more regularity. More precisely, I will start by desacralizing the IGA by introducing it as a projection of the FEM on a more regular reduced basis. Based on this observation, I will then explain that IGA can be implemented in a non-intrusive way in a FE code, which offers in particular the possibility to do efficient and robust global/local coupling in structural mechanics. Finally, I will show that IGA-FEM links can also be used to regularize non-intrusive inverse and/or optimization problems, such as those encountered in the field of photomechanics (digital image correlation in particular).
Short biography
At the interface between mechanics and applied mathematics, Robin Bouclier's research work concerns the development and implementation of advanced numerical methods, mainly iso-geometric, for solid mechanics. These methods cover not only efficient direct simulation but also address the solution of optimization problems or inverse problems, such as those encountered in the field of computational photomechanics.