Control/fictitious domain method for solving optimal shape design problems

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...

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

shape-measure method for solving elliptic optimal shape problems (fixed control case)

A Method for Solving Optimal Control Problems Using Genetic Programming

This paper deals with a novel method for solving optimal control problems based on genetic programming. This approach produces some trial solutions and seeks the best of them. If the solution cannot be expressed in a closed analytical form then our method produces an approximation with a controlled level of accuracy. Using numerical examples, we will demonstrate how to use the results.

Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method

Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregive...