A continuous optimization approach to the tessellation generation problem

• Grant number: 21/05168-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 2021
• End date: February 28, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Ernesto Julián Goldberg Birgin
• Grantee: Tiago da Costa Menezes
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 18/24293-0 - Computational methods in optimization, AP.TEM

Abstract

The thematic project associated with this postdoctoral project aims to develop and analyze algorithms for different aspects of optimization, with emphasis on continuous optimization. The project is based on applications with which the group is familiar. Emphasis is placed on algorithms with a solid theoretical background, which involves precise characterization of the problems addressed, with careful and competitive computational implementation, and connections to Engineering and Applied Sciences. In this context, this postdoctoral project aims to study "problems in the generation of tessellations", that is, ways of dividing a domain in a space into different regions. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BIRGIN, E. G.; LAURAIN, A.; MENEZES, T. C.. SENSITIVITY ANALYSIS AND TAILORED DESIGN OF MINIMIZATION DIAGRAMS. Mathematics of Computation, v. 92, n. 344, p. 54-pg., 2023-05-12. (18/24293-0, 13/07375-0, 21/05168-3, 16/01860-1)