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Optimal actuator design based on shape calculus (2018)
Journal Article
Kalise, D., Kunisch, K., & Sturm, K. (2018). Optimal actuator design based on shape calculus. Mathematical Models and Methods in Applied Sciences, 28(13), 2667-2717. https://doi.org/10.1142/S0218202518500586

An approach to optimal actuator design based on shape and topology optimization techniques is presented. For linear diffusion equations, two scenarios are considered. For the first one, best actuators are determined depending on a given initial condi... Read More about Optimal actuator design based on shape calculus.

Polynomial approximation of high-dimensional Hamilton–Jacobi–Bellman equations and applications to feedback control of semilinear parabolic PDES (2018)
Journal Article
Kalise, D., & Kunisch, K. (2018). Polynomial approximation of high-dimensional Hamilton–Jacobi–Bellman equations and applications to feedback control of semilinear parabolic PDES. SIAM Journal on Scientific Computing, 40(2), A629-A652. https://doi.org/10.1137/17M1116635

© 2018 Society for Industrial and Applied Mathematics. A procedure for the numerical approximation of high-dimensional Hamilton–Jacobi–Bellman (HJB) equations associated to optimal feedback control problems for semilinear parabolic equations is propo... Read More about Polynomial approximation of high-dimensional Hamilton–Jacobi–Bellman equations and applications to feedback control of semilinear parabolic PDES.

Proximal methods for stationary mean field games with local couplings (2018)
Journal Article
Briceño-Arias, L. M., Kalise, D., & Silva, F. J. (2018). Proximal methods for stationary mean field games with local couplings. SIAM Journal on Control and Optimization, 56(2), 801-836. https://doi.org/10.1137/16M1095615

© 2018 Society for Industrial and Applied Mathematics. We address the numerical approximation of mean field games with local couplings. For power-like Hamiltonians, we consider a stationary system and also a system involving density constraints model... Read More about Proximal methods for stationary mean field games with local couplings.