3 papers
math.OC2026
An Adaptive Method for Optimal Control Problems Constrained by Parabolic Differential Equations
Alexander M. Davies, Sara Pollock, Miriam E. Dennis +1
An adaptive direct collocation method is developed for solving optimal control problems constrained by parabolic partial differential equations. The partial differential equation i…
math.OC2025
Optimal Control of Parabolic Differential Equations Using Radau Collocation
Alexander M. Davies, Sara Pollock, Miriam E. Dennis +1
A method is presented for the numerical solution of optimal boundary control problems governed by parabolic partial differential equations. The continuous space-time optimal contro…
math.NA2017
Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition
Sara Pollock, Yunrong Zhu
Uniqueness of the finite element solution for nonmonotone quasilinear problems of elliptic type is established in one and two dimensions. In each case, we prove a comparison theore…