14 citations · 27 across the 6 of their papers we have counts for
7 papers
Free-Material Optimization in a Peridynamic World
Anton Evgrafov
We study free-material optimization for nonlinear bond-based nonlocal diffusion and its localization as the interaction horizon vanishes. Bond conductivities are subject to poi…
The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion
Marcus Schytt, Anton Evgrafov
We derive the dual variational principle (principle of minimal complementary energy) for the nonlocal nonlinear scalar diffusion problem, which may be viewed as the nonlocal versio…
Nonlocal basis pursuit: Nonlocal optimal design of conductive domains in the vanishing material limit
Anton Evgrafov, José C. Bellido
We consider the problem of optimal distribution of a limited amount of conductive material in systems governed by local and non-local scalar diffusion laws. Of particular interest…
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…
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…
A simple characterization of -convergence for a class of nonlocal problems
José C. Bellido, Anton Evgrafov
This is a follow-up of a paper by Fernández-Bonder-Ritorto-Salort [8], where the classical concept of -convergence was extended to fractional \(p\)-Laplace type operators. In th…
From nonlocal Eringen's model to fractional elasticity
Anton Evgrafov, José C. Bellido
Eringen's model is one of the most popular theories in nonlocal elasticity. It has been applied to many practical situations with the objective of removing the anomalous stress con…