World's Best Scientists 2026 revealed!

Overview

Stefan Volkwein is affiliated with the University of Konstanz in Germany. Their research spans multiple fields including Engineering, Mathematics, and Physics and Astronomy, with a notable focus on Control and Systems Engineering, Statistical and Nonlinear Physics, and Numerical Analysis.

The main research topics covered by Volkwein include:

  • Model Reduction and Neural Networks
  • Numerical methods for differential equations
  • Advanced Control Systems Optimization
  • Probabilistic and Robust Engineering Design
  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Optimization Algorithms Research
  • Numerical methods in inverse problems

Volkwein's recent publications illustrate a strong emphasis on optimization and control in mathematical and computational frameworks. Selected papers include:

  • A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization (2021), ESAIM Mathematical Modelling and Numerical Analysis
  • Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation (2020), Mathematics
  • A Trust Region Reduced Basis Pascoletti-Serafini Algorithm for Multi-Objective PDE-Constrained Parameter Optimization (2022), Mathematical and Computational Applications
  • Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations (2021), Mathematical Control and Related Fields
  • Adaptive piecewise linear relaxations for enclosure computations for nonconvex multiobjective mixed-integer quadratically constrained programs (2023), Journal of Global Optimization

Frequent collaborators in Volkwein's research include:

  • Luca Mechelli
  • Stefan Banholzer
  • Mario Ohlberger
  • Tim Keil
  • Jan Rohleff

Volkwein publishes regularly in venues such as arXiv (Cornell University), Mathematical and Computational Applications, Mathematical Control and Related Fields, Journal of Optimization Theory and Applications, and ESAIM Mathematical Modelling and Numerical Analysis.

Best Publications

  • Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

    K. Kunisch;S. Volkwein

  • Galerkin proper orthogonal decomposition methods for parabolic problems

    Karl Kunisch;Stefan Volkwein

  • Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition

    K. Kunisch;S. Volkwein

  • Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control

    Michael Hinze;Stefan Volkwein

  • Proper orthogonal decomposition for optimality systems

    Karl Kunisch;Stefan Volkwein

  • HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems

    Karl Kunisch;Stefan Volkwein;Lei Xie

  • POD a-posteriori error estimates for linear-quadratic optimal control problems

    F. Tröltzsch;S. Volkwein

  • Optimal snapshot location for computing POD basis functions

    Karl Kunisch;Stefan Volkwein

  • Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition

    M. Hinze;S. Volkwein

  • Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control

    Martin Gubisch;Stefan Volkwein

  • Analysis of instantaneous control for the Burgers equation

    M. Hinze;S. Volkwein

  • Optimal Control of a Phase‐Field Model Using Proper Orthogonal Decomposition

    S. Volkwein

  • Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems

    Martin Kahlbacher;Stefan Volkwein

  • Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition

    D. Hömberg;S. Volkwein

  • POD-Galerkin approximations in PDE-constrained optimization

    Ekkehard W. Sachs;Stefan Volkwein

  • Distributed Control Problems for the Burgers Equation

    S. Volkwein

  • Model Order Reduction for PDE Constrained Optimization

    Peter Benner;Ekkehard Sachs;Stefan Volkwein

  • Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem

    Timo Tonn;Karsten Urban;Stefan Volkwein

  • Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming

    Friedemann Leibfritz;Stefan Volkwein

  • POD Galerkin schemes for nonlinear elliptic-parabolic systems

    Oliver Lass;Stefan Volkwein

Frequent Co-Authors

Karl Kunisch
Karl Kunisch University of Graz
Lars Grüne
Lars Grüne University of Bayreuth
Michael Hinze
Michael Hinze University of Koblenz and Landau
Fredi Tröltzsch
Fredi Tröltzsch Technical University of Berlin
Mario Ohlberger
Mario Ohlberger University of Münster
Michael Dellnitz
Michael Dellnitz University of Paderborn
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Alfio Quarteroni
Alfio Quarteroni Polytechnic University of Milan
Gianluigi Rozza
Gianluigi Rozza International School for Advanced Studies

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