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20122022
most citedA variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities

14 citations · 26 across the 9 of their papers we have counts for

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math.OC2022

Optimization of the Steklov-Lamé eigenvalues with respect to the domain

Beniamin Bogosel, Pedro R. S. Antunes

This work deals with theoretical and numerical aspects related to the behavior of the Steklov-Lamé eigenvalues on variable domains. After establishing the eigenstructure for the di…

math.OC2021

Numerical calculation of extremal Steklov eigenvalues in 3D and 4D

Pedro R. S. Antunes

We develop a numerical method for solving shape optimization of functionals involving Steklov eigenvalues and apply it to the problem of maximization of the -th Steklov eigenval…

math.OC2018★ 3 cited

Parametric Shape Optimization using the Support Function

Pedro R. S. Antunes, Beniamin Bogosel

The optimization of shape functionals under convexity, diameter or constant width constraints shows numerical challenges. The support function can be used in order to approximate s…