Nonlocal Control in the Conduction Coefficients: Well-Posedness and Convergence to the Local Limit

DOI10.1137/19M126181XzbMath1451.49009arXiv1905.01931MaRDI QIDQ5130023

José Carlos Bellido, Anton Evgrafov

Publication date: 3 November 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01931

zbMATH Keywords

convergence to local problemsnonlocal optimal control in coefficientsnonlocal optimal designnumerical approximation of nonlocal problems

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization problems in thermodynamics and heat transfer (80M50) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (4)

On the optimal control of a linear peridynamics model ⋮ The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion ⋮ The Nonlocal Kelvin Principle and the Dual Approach to Nonlocal Control in the Conduction Coefficients ⋮ Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit

Uses Software

• Gmsh
• UMFPACK
• PyAMG

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