A boundary functional for optimal shape design problems

Optimal Shape Design for a Cooling Pin Fin Connection Profil

A shape optimization problem of cooling fins for computer parts and integrated circuits is modeled and solved in this paper. The main purpose is to determine the shape of a two-dimensional pin fin, which leads to the maximum amount of removed heat. To do this, the shape optimization problem is defined as maximizing the norm of the Nusselt number distribution at the boundary of the pin fin's con...

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)

Control/fictitious domain method for solving optimal shape design problems

— Combining a fictitious domain and an optimal control approach, we present a new method for the numerical realization of optimal shape design problems. This approach enables us to perform ail calculations on a fixed domain with a fixed grid. Finite element approximation is studied. Résumé. — On présente une méthode nouvelle pour la résolution numérique des problèmes de Voptimisation de la form...

Optimal plastic shape design via the boundary perturbation method

1 I n t r o d u c t i o n The boundary perturbation method (BPM) is now widely developed both in solid and fluid mechanics (although not always under this name). Older results are presented in the monograph by Morse and Feshbach (1953), and a recent survey by Guz and Nemysh (1987) gives 310 references (mostly Ukrainian and Russian). The monograph by Guz and Nemysh (1989) presents in detail two ...

A New Optimal Solution Concept for Fuzzy Optimal Control Problems

In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variatio...