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- Title
GEOMETRICAL VARIATIONS OF A STATE-CONSTRAINED FUNCTIONAL ON STAR-SHAPED DOMAINS.
- Authors
Boulkhemair, Abdesslam; Chakib, Abdelkrim; Sadik, Azeddine
- Abstract
The aim of this paper is to compute the shape derivative of a volume cost functional subject to a Dirich- let boundary value state constraint problem using the shape derivative formula introduced in (Boulkhemair et al., 2020), which concerns star-shaped domains. This allows us to express the shape derivative by means of support functions of convex domains. Then we give a simple algorithm for the numerical resolution of this problem.
- Subjects
NUMERICAL solutions to boundary value problems; GEOMETRY; DERIVATIVES (Mathematics); BOUNDARY value problems; MATHEMATICAL functions
- Publication
Advanced Mathematical Models & Applications, 2021, Vol 6, Issue 2, p73
- ISSN
2519-4445
- Publication type
Article