Publications

Peer-reviewed

• Dominik Hafemeyer and Florian Mannel:
  A path-following inexact Newton method for PDE-constrained optimal control in BV
  [Preprint aka. extended version including Python code]
  Computational Optimization and Applications. Vol. 82, pp. 753–794, 2022.
  

• Zaccharie Ramzi, Florian Mannel, Shaojie Bai, Jean-Luc Starck, Philippe Ciuciu, Thomas Moreau:
  SHINE: SHaring the INverse Estimate from the forward pass for bi-level optimization and implicit models
  [Preprint]
  Spotlight Presentation (slides) at The Tenth International Conference on Learning Representations (ICLR), 2022.
  

• Natacha Kuete Meli, Florian Mannel, Jan Lellmann:
  An Iterative Quantum Approach for Transformation Estimation from Point Sets
  Supplemental material
  Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), pp. 529-537, 2022.
  

• Florian Mannel and Armin Rund:
  A hybrid semismooth quasi-Newton method for structured nonsmooth operator equations in Banach spaces
  [Preprint]
  Journal of Convex Analysis. Vol. 29, No. 1, pp. 183–204, 2022.
  

• Florian Mannel:
  On the convergence of Broyden's method and some accelerated schemes for singular problems [including Julia code]
  [Preprint]
  IMA Journal of Numerical Analysis. Published online, pp. 1–29, 2022.
  

• Florian Mannel:
  On the order of convergence of Broyden's method (Faster convergence on mixed linear–nonlinear systems of equations and a conjecture on the q-order)
  [Preprint]
  Calcolo. Vol. 58, No. 4, online article, pp. 1–21, 2021.
  

• Florian Mannel:
  Convergence properties of the Broyden–like method for mixed linear–nonlinear systems of equations
  [Preprint]
  Numerical Algorithms. Vol. 88, No. 2, pp. 853–881, 2021.
  

• Florian Mannel and Armin Rund:
  A hybrid semismooth quasi-Newton method for nonsmooth optimal control with PDEs
  [Preprint]
  Optimization and Engineering. Vol. 22, No. 4, pp. 2087–2125, 2021.
  

• Dominik Hafemeyer, Florian Mannel, Ira Neitzel and Boris Vexler:
  Finite element error estimates for one-dimensional elliptic optimal control by BV-functions
  [Preprint]
  Mathematical Control and Related Fields. Vol. 10, No. 2, pp. 333-363, 2020.
  

• Florian Kruse:
  Semismooth implicit functions
  [Electronically published version available here]
  Journal of Convex Analysis. Vol. 25, No. 2, pp. 595–622, 2018.
  

• Christian Clason, Florian Kruse, Karl Kunisch:
  Total variation regularization of multi-material topology optimization
  [Preprint]
  ESAIM: Mathematical Modelling and Numerical Analysis. Vol. 52, No. 1, pp. 275-303, 2018.
  

• Eduardo Casas, Florian Kruse, Karl Kunisch:
  Optimal control of semilinear parabolic equations by BV-functions
  [Preprint including more details on the discretization available here]
  SIAM Journal on Control and Optimization. Vol. 55, No. 3, pp. 1752–1788, 2017.
  

• Florian Kruse, Michael Ulbrich:
  A self-concordant interior point approach for optimal control with state constraints
  SIAM Journal on Optimization. Vol. 25, No. 2, pp. 770-806, 2015.
  

Preprints

• Florian Mannel:
  A globalization framework for semismooth Newton methods
  To be submitted, 2022.
  

Thesis

• Florian Kruse:
  Interior point methods for optimal control problems with state constraints
  mediatum, TU München, 2014.