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Numerical approximation of a one-dimensional elliptic optimal design problem
We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in one space dimension. This problem, in the continuous setting, due to high frequency oscillations, ...
Flux identification for 1-d scalar conservation laws in the presence of shocks
We consider the problem of flux identification for 1-d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. ...