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Mathematics

D-Index
37
Citations
7115
World Ranking
2459
National Ranking
151

Overview

Michael Hinze is affiliated with the University of Koblenz and Landau in Germany. The primary areas of their research lie within Engineering and Computer Science, focusing on topics such as Advanced Numerical Methods in Computational Mathematics, Model Reduction and Neural Networks, and Advanced Mathematical Modeling in Engineering.

Their work spans several subfields including Computational Mechanics, Computational Theory and Mathematics, Statistical and Nonlinear Physics, Civil and Structural Engineering, and Numerical Analysis.

Frequent publication venues for their research include arXiv (Cornell University) with 11 papers, the Mathematical Control and Related Fields with 2 papers, and singular contributions to ESAIM Control Optimisation and Calculus of Variations, Computer Physics Communications, and the Journal of Computational Physics.

Hinze's most recent papers demonstrate a strong focus on fluid dynamics and computational methods:

  • Adjoint complement to the volume-of-fluid method for immiscible flows, 2021, Journal of Computational Physics
  • A novel W1,∞ approach to shape optimisation with Lipschitz domains, 2021, ESAIM Control Optimisation and Calculus of Variations
  • Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data, 2020, arXiv (Cornell University)
  • An incremental singular value decomposition approach for large-scale spatially parallel & distributed but temporally serial data - applied to technical flows, 2023, Computer Physics Communications
  • Two-phase flow simulations of surface waves in wind-forced conditions, 2023, Physics of Fluids

Hinze has coauthored frequently with several researchers, including Klaus Deckelnick, Thomas Rung, Philip J. Herbert, Niklas Kühl, and Evelyn Herberg.

In addition to journal publications, Hinze has contributed to the literature through book publications with Springer Nature. Notable titles include Model Reduction of Complex Dynamical Systems (2021) and Model Order Reduction and Applications (2023).

Best Publications

  • Optimization with PDE Constraints

    Michael Hinze;Rene Pinnau;Michael Ulbrich;Stefan Ulbrich

  • A variational discretization concept in control constrained optimization: the linear-quadratic case

    M. Hinze

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

    Michael Hinze;Stefan Volkwein

  • Second Order Methods for Optimal Control of Time-Dependent Fluid Flow

    Michael Hinze;Karl Kunisch

  • Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem

    Klaus Deckelnick;Michael Hinze

  • Optimal and instantaneous control of the instationary Navier-Stokes equations

    Michael Hinze

  • Instantaneous control of backward-facing step flows

    Haecheon Choi;Michael Hinze;Karl Kunisch

  • Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains

    Klaus Deckelnick;Andreas Günther;Michael Hinze

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

    M. Hinze;S. Volkwein

  • Model reduction for circuit simulation

    Peter Benner;Michael Hinze;E. Jan W. ter Maten

  • Analysis of instantaneous control for the Burgers equation

    M. Hinze;S. Volkwein

  • Optimal control of the free boundary in a two-phase Stefan problem

    Michael Hinze;Stefan Ziegenbalg

  • Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment

    Michael Hintermüller;Michael Hinze

  • A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow

    Harald Garcke;Michael Hinze;Christian Kahle

  • An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem

    M. Hintermuller;M. Hinze;M. H. Tber

  • A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints

    M. Hintermüller;M. Hinze

  • Second order methods for boundary control of the instationary Navier-Stokes system

    Michael Hinze;Karl Kunisch

  • Three Control Methods for Time-Dependent Fluid Flow

    Michael Hinze;Karl Kunisch

  • A note on the approximation of elliptic control problems with bang-bang controls

    Klaus Deckelnick;Michael Hinze

  • Discrete Concepts in PDE Constrained Optimization

    Michael Hinze

  • Optimal control of the free boundary in a two‐phase Stefan problem with flow driven by convection

    Michael Hinze;Stefan Ziegenbalg

Frequent Co-Authors

Harald Garcke
Harald Garcke University of Regensburg
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Karl Kunisch
Karl Kunisch University of Graz
Stefan Volkwein
Stefan Volkwein University of Konstanz
Charles M. Elliott
Charles M. Elliott University of Warwick
Christian Meyer
Christian Meyer Greifswald University Hospital
Fredi Tröltzsch
Fredi Tröltzsch Technical University of Berlin
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Moritz Diehl
Moritz Diehl University of Freiburg

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