Cornel Marius Murea1
This paper is dedicated to the memory of Prof. Haim Brezis
Abstract. Fixed domain approaches are used for some topology optimization problems of clamped Kirchhoff-Love plates: detection of a damaged zone using pointwise observation, respectively compliance minimization and the first eigenvalue maximization. We discuss the derivability with respect to functional variations of the geometry and some descent directions are proposed. Numerical tests are presented.
Keywords: ntopology optimization, compliance minimization, maximization of the first eigenvalue.
MSC: 49Q10, 65K10.
DOI 10.56082/annalsarscimath.2025.1.193
1 Departement de Mathematiques, IRIMAS, Universite de Haute Alsace, France, cornel.murea@uha.fr
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 1, 2025
