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03/03/2023
Fast Iterative Solver for the All-at-Once Runge–Kutta Discretization
In this article, we derive fast and robust preconditioned iterative meth...
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07/12/2022
MultiShape: A Spectral Element Method, with Applications to Dynamic Density Functional Theory and PDE-Constrained Optimization
A numerical framework is developed to solve various types of PDEs on com...
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12/09/2021
A Preconditioned Inexact Active-Set Method for Large-Scale Nonlinear Optimal Control Problems
We provide a global convergence proof of the recently proposed sequentia...
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07/31/2021
Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier–Stokes Control
We derive novel, fast, and parameter-robust preconditioned iterative met...
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07/14/2021
General-purpose preconditioning for regularized interior point methods
In this paper we present general-purpose preconditioners for regularized...
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06/23/2021
A Note On Symmetric Positive Definite Preconditioners for Multiple Saddle-Point Systems
We consider symmetric positive definite preconditioners for multiple sad...
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05/14/2021
Saddle point preconditioners for weak-constraint 4D-Var
Data assimilation algorithms combine information from observations and p...
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09/21/2020
PDE-Constrained Optimization Models and Pseudospectral Methods for Multiscale Particle Dynamics
We derive novel algorithms for optimization problems constrained by part...
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07/16/2020
Fast Iterative Solver for the Optimal Control of Time-Dependent PDEs with Crank-Nicolson Discretization in Time
In this article, we derive a new, fast, and robust preconditioned iterat...
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12/20/2019
A New Preconditioning Approach for an Interior Point-Proximal Method of Multipliers for Linear and Convex Quadratic Programming
In this paper, we address the efficient numerical solution of linear and...
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11/11/2019
