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07/23/2023
Proximal Galerkin: A structure-preserving finite element method for pointwise bound constraints
The proximal Galerkin finite element method is a high-order, nonlinear n...
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04/13/2023
Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals
We present an analysis and numerical study of an optimal control problem...
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07/29/2022
Asymptotic Consistency for Nonconvex Risk-Averse Stochastic Optimization with Infinite Dimensional Decision Spaces
Optimal values and solutions of empirical approximations of stochastic o...
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12/02/2021
Optimal Control of the Kirchhoff Equation
We consider an optimal control problem for the steady-state Kirchhoff eq...
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06/11/2021
Asymptotic Properties of Monte Carlo Methods in Elliptic PDE-Constrained Optimization under Uncertainty
Monte Carlo approximations for random linear elliptic PDE constrained op...
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04/24/2020
