54 citations
- Centre National de la Recherche ScientifiqueFR3 papers
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math.OC2016
A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem
Zixuan Chen, Xiaoliang Song, Xuping Zhang +1
In this paper, elliptic control problems with pointwise box constraints on the state is considered, where the corresponding Lagrange multipliers in general only represent regular B…
math.OC2015★ 8 cited
Boundary Control of Reaction-Diffusion PDEs on Balls in Spaces of Arbitrary Dimensions
Rafael Vazquez, Miroslav Krstic
An explicit output-feedback boundary feedback law is introduced that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on an -ball (which in 2-D red…
math.OC2014★ 1 cited
A parameter identification problem in stochastic homogenization
F. Legoll, W. Minvielle, A. Obliger +1
In porous media physics, calibrating model parameters through experiments is a challenge. This process is plagued with errors that come from modelling, measurement and computation…