Michael Hinze

4.9k total citations · 1 hit paper
101 papers, 2.6k citations indexed

About

Michael Hinze is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, Michael Hinze has authored 101 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Computational Mechanics, 42 papers in Computational Theory and Mathematics and 23 papers in Numerical Analysis. Recurrent topics in Michael Hinze's work include Advanced Numerical Methods in Computational Mathematics (60 papers), Advanced Mathematical Modeling in Engineering (37 papers) and Computational Fluid Dynamics and Aerodynamics (21 papers). Michael Hinze is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (60 papers), Advanced Mathematical Modeling in Engineering (37 papers) and Computational Fluid Dynamics and Aerodynamics (21 papers). Michael Hinze collaborates with scholars based in Germany, Austria and United States. Michael Hinze's co-authors include Klaus Deckelnick, Karl Kunisch, Michael Hintermüller, Andreas Günther, Stefan Volkwein, Harald Garcke, Wei Gong, Haecheon Choi, René Pinnau and Christian Meyer and has published in prestigious journals such as Journal of Computational Physics, Computer Physics Communications and Physics of Fluids.

In The Last Decade

Michael Hinze

99 papers receiving 2.3k citations

Hit Papers

Optimization with PDE Constraints 2008 2026 2014 2020 2008 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Optimization with PDE Constraints
    2008 623 citations Michael Hinze profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Hinze Germany 26 1.8k 1.2k 601 370 361 101 2.6k
Fredi Tröltzsch Germany 30 2.0k 1.1× 1.9k 1.6× 900 1.5× 319 0.9× 359 1.0× 124 3.3k
Michael Hintermüller Germany 32 1.7k 0.9× 1.5k 1.3× 647 1.1× 95 0.3× 593 1.6× 135 3.3k
David L. Russell United States 12 913 0.5× 1.3k 1.0× 458 0.8× 208 0.6× 334 0.9× 33 2.7k
Mario Ohlberger Germany 24 1.4k 0.8× 569 0.5× 385 0.6× 738 2.0× 424 1.2× 82 2.3k
Ragnar Winther Norway 31 3.1k 1.7× 1.5k 1.2× 699 1.2× 313 0.8× 1.3k 3.6× 81 3.9k
Matthias Heinkenschloss United States 26 837 0.5× 704 0.6× 625 1.0× 391 1.1× 101 0.3× 75 1.8k
William Layton United States 39 4.3k 2.4× 1.4k 1.1× 956 1.6× 428 1.2× 616 1.7× 161 4.8k
Michel Crouzeix France 23 1.8k 1.0× 1.1k 0.9× 973 1.6× 165 0.4× 643 1.8× 63 2.7k
Christine Bernardi France 29 3.0k 1.7× 1.7k 1.4× 524 0.9× 177 0.5× 1.6k 4.4× 143 3.7k
Jun Zou Hong Kong 34 2.0k 1.1× 1.3k 1.1× 413 0.7× 137 0.4× 1.4k 4.0× 169 4.3k

Countries citing papers authored by Michael Hinze

Since Specialization
Citations

This map shows the geographic impact of Michael Hinze's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Hinze with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Hinze more than expected).

Fields of papers citing papers by Michael Hinze

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Hinze. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Hinze. The network helps show where Michael Hinze may publish in the future.

Co-authorship network of co-authors of Michael Hinze

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Hinze. A scholar is included among the top collaborators of Michael Hinze based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Hinze. Michael Hinze is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Deckelnick, Klaus, et al.. (2024). PDE-constrained shape optimization with first-order and Newton-type methods in the W 1,∞ topology. Optimization methods & software. 1–27. 1 indexed citations
2.
Hinze, Michael, et al.. (2023). An incremental singular value decomposition approach for large-scale spatially parallel & distributed but temporally serial data – applied to technical flows. Computer Physics Communications. 296. 109022–109022. 10 indexed citations
3.
Agosti, Abramo, Pasquale Ciarletta, Harald Garcke, & Michael Hinze. (2020). Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. arXiv (Cornell University). 9 indexed citations
4.
Garcke, Harald, et al.. (2017). A phase field approach to shape optimization in Navier{Stokes \nflow with integral state constraints. University of Regensburg Publication Server (University of Regensburg). 22 indexed citations
5.
Alla, Alessandro, et al.. (2016). A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations. IRIS Research product catalog (Sapienza University of Rome). 6 indexed citations
6.
Deckelnick, Klaus, et al.. (2016). Global minima for semilinear optimal control problems. Computational Optimization and Applications. 65(1). 261–288. 8 indexed citations
7.
Elliott, Charles M., Yoshikazu Giga, Michael Hinze, & Vanessa Styles. (2013). Interfaces and Free Boundaries: Analysis, Control and Simulation. Oberwolfach Reports. 10(1). 867–950. 1 indexed citations
8.
Gong, Wei, Michael Hinze, & Zhijun Zhou. (2012). Space-time finite element approximation of parabolic optimal control problems. Journal of Numerical Mathematics. 20(2). 20 indexed citations
9.
Deckelnick, Klaus & Michael Hinze. (2011). Identification of matrix parameters in elliptic PDEs. Control and Cybernetics. 40(4). 957–969. 3 indexed citations
10.
Hintermüller, Michael, et al.. (2011). An adaptive finite-element Moreau–Yosida-based solver for a non-smooth Cahn–Hilliard problem. Optimization methods & software. 26(4-5). 777–811. 36 indexed citations
11.
Hinze, Michael, et al.. (2011). Convergence Analysis of Galerkin POD for linear second order evolution equations. 8 indexed citations
12.
Hinze, Michael, et al.. (2009). A note on variational discretization of elliptic Neumann boundary control. Control and Cybernetics. 38(3). 577–591. 16 indexed citations
13.
Hinze, Michael, et al.. (2009). A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs. Optimization methods & software. 25(4). 553–571. 6 indexed citations
14.
Elliott, Charles M., Michael Hinze, & Vanessa Styles. (2007). Mini-Workshop: Control of Free Boundaries. Oberwolfach Reports. 4(1). 447–486. 2 indexed citations
15.
Hinze, Michael & Christian Meyer. (2007). Stability of infinite dimensional control problems with pointwise state constraints. Open MIND. 4 indexed citations
16.
Hinze, Michael. (2005). A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case. Computational Optimization and Applications. 30(1). 45–61. 317 indexed citations
17.
Hinze, Michael, et al.. (2005). A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier–Stokes system. Optimization methods & software. 20(6). 645–663. 13 indexed citations
18.
Hinze, Michael, et al.. (2005). An optimal memory‐reduced procedure for calculating adjoints of the instationary Navier‐Stokes equations. Optimal Control Applications and Methods. 27(1). 19–40. 27 indexed citations
19.
Hinze, Michael. (1993). On the Numerical Treatment of Quasiminimal Surfaces. 5(4). 249–270. 5 indexed citations
20.
Jaeschke, M. & Michael Hinze. (1991). Ermittlung des Realgasverhaltens von Methan und Stickstoff und deren Gemische im Temperaturbereich von 270 K bis 353 K und Drücken bis 30 MPa. VDI Verlag eBooks. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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