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Alexander Mielke

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 70 279 236 17 16 261 14153

Alexander Mielke publications per year

The chart shows the history of publications by Alexander Mielke between 1986 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Alexander Mielke published across 40 years, from 1986 to 2025, averaging 7.9 papers a year. Output peaked at 20 publications in 2025. 33 of the 316 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1986 to 2025. Vertical axis: number of publications, 0 to 20. Peak 20 publications in 2025. 1986: 2 publications 1987: 1 publication 1988: 5 publications 1989: 1 publication 1990: 3 publications 1991: 12 publications 1992: 5 publications 1993: 0 publications 1994: 2 publications 1995: 8 publications 1996: 2 publications 1997: 3 publications 1998: 4 publications 1999: 3 publications 2000: 5 publications 2001: 6 publications 2002: 9 publications 2003: 7 publications 2004: 6 publications 2005: 8 publications 2006: 19 publications 2007: 8 publications 2008: 14 publications 2009: 10 publications 2010: 11 publications 2011: 9 publications 2012: 15 publications 2013: 13 publications 2014: 9 publications 2015: 14 publications 2016: 14 publications 2017: 4 publications 2018: 10 publications 2019: 4 publications 2020: 7 publications 2021: 12 publications 2022: 9 publications 2023: 9 publications 2024: 13 publications 2025: 20 publications
1986 2025

316 publications in total across all disciplines

View publications per year as a table
Alexander Mielke: publications per year, 1986 to 2025
Year Publications
1986 2
1987 1
1988 5
1989 1
1990 3
1991 12
1992 5
1993 0
1994 2
1995 8
1996 2
1997 3
1998 4
1999 3
2000 5
2001 6
2002 9
2003 7
2004 6
2005 8
2006 19
2007 8
2008 14
2009 10
2010 11
2011 9
2012 15
2013 13
2014 9
2015 14
2016 14
2017 4
2018 10
2019 4
2020 7
2021 12
2022 9
2023 9
2024 13
2025 20
Total 316
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Alexander Mielke publications per year - data summary

  • Alexander Mielke, a Mathematics scholar from Weierstrass Institute for Applied Analysis and Stochastics, has 316 publications recorded across 40 years, from 1986 to 2025.
  • The oldest publication on record dates to 1986 and the most recent to 2025.
  • The most productive year is 2025, with 20 publications.
  • The least productive years with any output are 1987 and 1989, with 1 publication each.
  • 1 of the 40 years in the span carries no publications at all (1993).
  • The rate of publication averages 7.9 papers per year over the whole span, or 8.1 per year counting only the 39 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 63 publications, 20% of the career total.
  • Split into equal eras - 1986-1999: 51 publications (3.6 per year); 2000-2013: 140 publications (10.0 per year); 2014-2025: 125 publications (10.4 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Alexander Mielke publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Alexander Mielke sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 257–261 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 261 publications — 79th percentile

79% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45 261
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Alexander Mielke publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Alexander Mielke, a Mathematics scholar from Weierstrass Institute for Applied Analysis and Stochastics, records 261 publications - the 79th percentile of the discipline.
  • 79% of ranked Mathematics scientists score the same or lower than Alexander Mielke, and about 21% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Alexander Mielke ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Alexander Mielke D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Alexander Mielke sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 70 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 70 D-Index — 93rd percentile

93% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18 70
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Alexander Mielke D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Alexander Mielke, a Mathematics scholar from Weierstrass Institute for Applied Analysis and Stochastics, records 70 D-Index - the 93rd percentile of the discipline.
  • 93% of ranked Mathematics scientists score the same or lower than Alexander Mielke, and about 7% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Alexander Mielke ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Overview

Alexander Mielke is affiliated with the Weierstrass Institute for Applied Analysis and Stochastics in Germany. Their research spans multiple domains within mathematics and engineering, with a particular emphasis on applied mathematics and computational theory.

Their publication record includes a variety of recent papers, illustrating involvement in advanced mathematical modeling and analysis topics. Selected recent papers are:

  • Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence, 2021, Continuum Mechanics and Thermodynamics
  • Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures, 2020, Journal of Statistical Physics
  • EDP-convergence for nonlinear fast-slow reaction systems with detailed balance*, 2021, Nonlinearity
  • On the existence of global-in-time weak solutions and scaling laws for Kolmogorov's two-equation model for turbulence, 2022, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
  • Global Existence Analysis of Energy-Reaction-Diffusion Systems, 2022, SIAM Journal on Mathematical Analysis

Mielke collaborates frequently with other researchers. Notable co-authors include:

  • Thomas Koprucki
  • Tomáš Roubı́ček
  • Mark A. Peletier
  • Anieza Maltsi
  • Artur Stephan

Their research outputs are often published in venues such as:

  • arXiv (Cornell University)
  • The Spine Journal
  • Archive for Rational Mechanics and Analysis
  • Continuum Mechanics and Thermodynamics
  • SIAM Journal on Mathematical Analysis

Main fields of study for Alexander Mielke include:

  • Mathematics
  • Engineering

Within these fields, Mielke's work delves into the following subfields:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Statistical and Nonlinear Physics
  • Modeling and Simulation
  • Control and Systems Engineering

The primary topics addressed in their research cover:

  • Advanced Mathematical Modeling in Engineering
  • Mathematical Biology Tumor Growth
  • Stability and Controllability of Differential Equations
  • Advanced Thermodynamics and Statistical Mechanics
  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Spine and Intervertebral Disc Pathology

Best Publications

  • Non-convex potentials and microstructures in finite-strain plasticity

    Carsten Carstensen;Klaus Hackl;Alexander Mielke

  • On rate-independent hysteresis models

    Alexander Mielke;Florian Theil

  • Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures

    Matthias Liero;Alexander Mielke;Giuseppe Savaré

  • A Variational Formulation of Rate-Independent Phase Transformations Using an Extremum Principle

    Alexander Mielke;Florian Theil;Valery I. Levitas

  • Rate-Independent Systems

    Alexander Mielke;Tomáš Roubíček

  • A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

    Alexander Mielke

  • Existence results for a class of rate-independent material models with nonconvex elastic energies

    Gilles Francfort;Alexander Mielke

  • Existence results for energetic models for rate-independent systems

    Andreas Mainik;Alexander Mielke

  • Reduction of quasilinear elliptic equations in cylindrical domains with applications

    Alexander Mielke

  • Rate-Independent Systems: Theory and Application

    Alexander Mielke;Tomáš Roubíček

  • The validity of modulation equations for extended systems with cubic nonlinearities

    Pius Kirrmann;Guido Schneider;Alexander Mielke

  • Attractors for modulation equations on unbounded domains-existence and comparison

    A Mielke;G Schneider

  • Γ-limits and relaxations for rate-independent evolutionary problems

    Alexander Mielke;Tomáš Roubíček;Ulisse Stefanelli

  • Energetic formulation of multiplicative elasto-plasticity using dissipation distances

    A. Mielke

  • Hamiltonian and Lagrangian Flows on Center Manifolds

    Alexander Mielke

  • Geodesic convexity of the relative entropy in reversible Markov chains

    Alexander Mielke

  • RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY

    Alexander Mielke;Tomáš Roubíček;Tomáš Roubíček

  • On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

    A. Mielke;M. A. Peletier;D. R. M. Renger

  • On the Rate-Independent Limit of Systems with Dry Friction and Small Viscosity

    Messoud A. Efendiev;Alexander Mielke

  • Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center

    A. Mielke;P. Holmes;O. O'Reilly

  • A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys

    Alexander Mielke;Tomás Roubícek

Frequent Co-Authors

Tomáš Roubíček
Tomáš Roubíček Charles University
Giuseppe Savaré
Giuseppe Savaré Bocconi University
Sergey Zelik
Sergey Zelik University of Surrey
Gérard Iooss
Gérard Iooss Université Côte d'Azur
Guido Schneider
Guido Schneider University of Stuttgart
Michael Ortiz
Michael Ortiz California Institute of Technology
Philip Holmes
Philip Holmes Princeton University
Michael Winkler
Michael Winkler University of Paderborn
Gianni Dal Maso
Gianni Dal Maso International School for Advanced Studies
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology

External Links

Personal website of Alexander Mielke Google Scholar page

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Best Scientists Citing Alexander Mielke

Guido Schneider

Guido Schneider

University of Stuttgart

Publications: 66

Tomáš Roubíček

Tomáš Roubíček

Charles University

Publications: 66

Arnd Scheel

Arnd Scheel

University of Minnesota

Publications: 50

Patrizio Neff

Patrizio Neff

University of Duisburg-Essen

Publications: 48

Sergey Zelik

Sergey Zelik

University of Surrey

Publications: 29

Alan R Champneys

Alan R Champneys

University of Bristol

Publications: 27

Björn Sandstede

Björn Sandstede

Brown University

Publications: 27

Sergio Conti

Sergio Conti

University of Bonn

Publications: 25

Michael Ortiz

Michael Ortiz

California Institute of Technology

Publications: 23

Dennis M. Kochmann

Dennis M. Kochmann

ETH Zurich

Publications: 23

Yibin Fu

Yibin Fu

Keele University

Publications: 22

Ansgar Jüngel

Ansgar Jüngel

TU Wien

Publications: 22

Christian Miehe

Christian Miehe

University of Stuttgart

Publications: 21

Gianni Dal Maso

Gianni Dal Maso

International School for Advanced Studies

Publications: 20

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Dmitry E. Pelinovsky

McMaster University

Publications: 19

Giuseppe Savaré

Giuseppe Savaré

Bocconi University

Publications: 18

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