Generalized shape optimization of transient vibroacoustic problems using cut elements

Shape optimization under vibroacoustic criteria in the mid-high frequency range using gradient-based approach

Shape optimization issues under vibroacoustic criteria within the specific mid high frequency range are under consideration in the present paper. The main objective of this research is to develop an adjoint formulation for the shape optimization using Simplified Energy Method (MES). This will allow to implement the method into numerical modeling of engineering applications, such as noise reduct...

Multiphase Shape Optimization Problems

This paper is devoted to the analysis of multiphase shape optimization problems, which can formally be written as min { g ( (F1(Ω1), . . . , Fh(Ωh) ) +m ∣∣ h ⋃ i=1 Ωi ∣∣ : Ωi ⊂ D, Ωi ∩ Ωj = ∅}, where D ⊆ R is a given bounded open set, |Ωi| is the Lebesgue measure of Ωi and m is a positive constant. For a large class of such functionals, we analyse qualitative properties of the cells and the int...

Shape optimization of quad mesh elements

We study the problem of optimizing the face elements of a quad mesh surface, that is, resampling a given quad mesh to make it possess, as much as possible, face elements of some desired aspect ratio and size. Unlike previous quad mesh optimization/improvement methods based on local operations on a small group of elements, we adopt a global approach that does not introduce extra singularities an...

Using Finite Elements Model of the Human Body for Shape Optimization of Seats: Optimization Material Properties

Vector Optimization Problems and Generalized Vector Variational-Like Inequalities

In this paper, some properties of  pseudoinvex functions, defined by means of  limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality,  the Stampacchia vector variational-like inequality, and the  weak formulations of these two inequalities  defined by means of limiting subdifferential are studied. Moreover, some relationships  between the vector vari...