19 citations · 43 across the 17 of their papers we have counts for
3 papers · 1 filter
Preconditioners and Tensor Product Solvers for Optimal Control Problems from Chemotaxis
Sergey Dolgov, John W. Pearson
In this paper, we consider the fast numerical solution of an optimal control formulation of the Keller--Segel model for bacterial chemotaxis. Upon discretization, this problem requ…
Interior Point Methods and Preconditioning for PDE-Constrained Optimization Problems Involving Sparsity Terms
John W. Pearson, Margherita Porcelli, Martin Stoll
PDE-constrained optimization problems with control or state constraints are challenging from an analytical as well as numerical perspective. The combination of these constraints wi…
Fast iterative solvers for an optimal transport problem
Roland Herzog, John W. Pearson, Martin Stoll
Optimal transport problems pose many challenges when considering their numerical treatment. We investigate the solution of a PDE-constrained optimisation problem subject to a parti…