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math.OC2021★ 3 cited
The nonlocal Kelvin principle and the dual approach to nonlocal control in the conduction coefficients
Anton Evgrafov, Jose C. Bellido
We explore the dual approach to nonlocal optimal design, specifically for a classical min-max problem which in this study is associated with a nonlocal scalar diffusion equation. W…
math.OC2019★ 14 cited
Non-local control in the conduction coefficients: well posedness and convergence to the local limit
Anton Evgrafov, Jose C Bellido
We consider a problem of optimal distribution of conductivities in a system governed by a non-local diffusion law. The problem stems from applications in optimal design and more sp…