Cornel Marius Murea†, Dan Tiba‡
Abstract: We study optimal design problems involving variational inequalities with unilateral conditions in the domain and pointwise boundary observation. We use regularizing and penalization tehniques in the setting of the Hamiltonian approach to shape/topology optimization problems. Numerical examples are also included.
Keywords: optimal design, pointwise observation, nonsmooth varia- tional inequalities.
MSC: 35J87, 49M41.
DOI 10.56082/annalsarscimath.2025.3.119
† cornel.murea@uha.fr, University of Haute Alsace, Department of Mathematics, Mul- house, France
‡ dan.tiba@imar.ro, Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania & Academy of Romanian Scientists, Ilfov 3, 050044 Bucharest, Romania
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 3, 2025
