Reduced-order models based on Proper orthogonal decomposition are known to suffer from
a lack of accuracy due to the truncation effect introduced by kee** only the most energetic …

We are interested by the general problem consisting of minimizing a functional of a state
field solution of a PDE state equation. In Particular in this work, we optimize a 3D wing …

The present study focuses on multi-level approaches in the context of discrete gradient-
based methods for aerodynamic shape design. More precisely, the minimisation is done …

The possibility to compute first-and second-derivatives of functionals subject to equality
constraints given by state equations (and in particular non-linear systems of Partial …

When solving a PDE problem numerically, a certain mesh-refinement process is always
implicit, and very classically, mesh adaptivity is a very effective means to accelerate grid …

Shape optimization of aircraft wings are essential to the aerospace industry since the
aerodynamic performance of aircraft wings depends directly on the aerodynamic shape. As …

We have developed a multilevel and adaption parametric strategies solved by optimization
algorithms which require only the availability of objective function values but no derivative …

A gradient-based method coupled with a multilevel approach is proposed for shape design
in aerodynamics. This method extends an existing multilevel gradient-based formulation to …

A multilevel approach based on a set of embedded parametrisations is proposed in the
context of gradient methods for optimum shape design in aerodynamics. This method …

In this work we present a regularization method to improve the accuracy of reduced-order
models based on Proper Orthogonal Decomposition. The bench mark configuration retained …