6 citations · 7 across the 5 of their papers we have counts for
4 papers · 1 filter
Stochastic Galerkin Method and Hierarchical Preconditioning for PDE-constrained Optimization
Zhendong Li, Akwum Onwunta, Bedřich Sousedík
We develop efficient hierarchical preconditioners for optimal control problems governed by partial differential equations with uncertain coefficients. Adopting a discretize-then-op…
Tensor train solution to uncertain optimization problems with shared sparsity penalty
Harbir Antil, Sergey Dolgov, Akwum Onwunta
We develop both first and second order numerical optimization methods to solve non-smooth optimization problems featuring a shared sparsity penalty, constrained by differential equ…
Optimal Control, Numerics, and Applications of Fractional PDEs
Harbir Antil, Thomas S. Brown, Ratna Khatri +3
This article provides a brief review of recent developments on two nonlocal operators: fractional Laplacian and fractional time derivative. We start by accounting for several appli…
On the existence and uniqueness of the solution of a parabolic optimal control problem with uncertain inputs
Peter Benner, Akwum Onwunta, Martin Stoll
In this note, we consider the existence and uniqueness of the solution of a time-dependent optimal control problem constrained by a partial differential equation with uncertain inp…