Regularization in state space
Regularization of linear least squares problems by total bounded variation
Stability for parameter estimation in two point boundary value problems.
Estimation of a temporally and spatially varying diffusion coefficinet in a parabolic system by an augmented Lagrangian technique.
Regularization of linear least squares problems by total bounded variation
We consider the problem : Minimize over , where is a closed convex subset of (Ω), and the last additive term denotes the BV-seminorm of is a linear operator from ∩ into the observation space . We formulate necessary optimality conditions for (). Then we show that () admits, for given regularization parameters α and β, solutions which depend in a stable manner on the data z. Finally we study the asymptotic behavior when α = β → 0. The regularized solutions...
Control and estimation of the boundary heat transfer function in Stefan problems
Estimation of the conductivity in the one-phase Stefan problem : numerical results
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