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math.OC2020
An abstract lagrangian framework for computing shape derivatives
Antoine Laurain, Pedro T. P. Lopes, Jean C. Nakasato
In this paper we study an abstract framework for computing shape derivatives of functionals subject to PDE constraints. We revisit the Lagrangian approach using the implicit functi…
math.OC2020
Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities
Antoine Laurain, Malte Winckler, Irwin Yousept
This paper is devoted to the theoretical and numerical study of an optimal design problem in high-temperature superconductivity (HTS). The shape optimization problem is to find an…