World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 54 849 725 41 38 221 9771
Engineering and Technology 53 3450 3300 107 102 221 9630

Harald Garcke publications per year

The chart shows the history of publications by Harald Garcke between 1995 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Harald Garcke published across 31 years, from 1995 to 2025, averaging 9 papers a year. Output peaked at 25 publications in 2021. 35 of the 280 publications appeared in the last two years.

No. of publications
5 10 15 20 25
Bar chart. Horizontal axis: year, 1995 to 2025. Vertical axis: number of publications, 0 to 25. Peak 25 publications in 2021. 1995: 1 publication 1996: 1 publication 1997: 1 publication 1998: 5 publications 1999: 4 publications 2000: 3 publications 2001: 7 publications 2002: 0 publications 2003: 7 publications 2004: 3 publications 2005: 6 publications 2006: 6 publications 2007: 7 publications 2008: 9 publications 2009: 3 publications 2010: 9 publications 2011: 5 publications 2012: 8 publications 2013: 12 publications 2014: 9 publications 2015: 10 publications 2016: 16 publications 2017: 16 publications 2018: 8 publications 2019: 12 publications 2020: 9 publications 2021: 25 publications 2022: 20 publications 2023: 23 publications 2024: 15 publications 2025: 20 publications
1995 2025

280 publications in total across all disciplines

View publications per year as a table
Harald Garcke: publications per year, 1995 to 2025
Year Publications
1995 1
1996 1
1997 1
1998 5
1999 4
2000 3
2001 7
2002 0
2003 7
2004 3
2005 6
2006 6
2007 7
2008 9
2009 3
2010 9
2011 5
2012 8
2013 12
2014 9
2015 10
2016 16
2017 16
2018 8
2019 12
2020 9
2021 25
2022 20
2023 23
2024 15
2025 20
Total 280
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Harald Garcke 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 Harald Garcke 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, 217–221 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: 221 publications — 69th percentile

69% 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 58 221
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
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
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Harald Garcke 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 Harald Garcke 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, 54 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: 54 D-Index — 78th percentile

78% 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 54
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
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
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Overview

Harald Garcke is affiliated with the University of Regensburg in Germany. Their research primarily spans the fields of Engineering and Computer Science, with notable contributions to subfields such as Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry, Applied Mathematics, and Civil and Structural Engineering.

The scientist's work focuses on advanced mathematical modeling and numerical methods within engineering and applied mathematics. Key topics in their research include:

  • Advanced Mathematical Modeling in Engineering
  • Solidification and crystal growth phenomena
  • Advanced Numerical Methods in Computational Mathematics
  • Fluid Dynamics and Thin Films
  • Lattice Boltzmann Simulation Studies
  • Nonlinear Partial Differential Equations
  • Topology Optimization in Engineering

Harald Garcke's recent publication record includes works centered on phase field models and tumor growth, among other topics:

  • On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects, 2020, Nonlinear Analysis Real World Applications
  • Viscoelastic Cahn-Hilliard models for tumor growth, 2022, Mathematical Models and Methods in Applied Sciences
  • Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects, 2021, SIAM Journal on Control and Optimization
  • Cahn-Hilliard-Brinkman systems for tumour growth, 2021, Discrete and Continuous Dynamical Systems - S
  • Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations, 2022, Journal of Computational Physics

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • University of Regensburg Publication Server (University of Regensburg)
  • Journal of Computational Physics
  • Discrete and Continuous Dynamical Systems - S
  • Numerische Mathematik

Harald Garcke has also contributed to book publications, such as the title Interfaces: Modeling, Analysis, Numerics published by Oberwolfach Seminars in 2023.

Collaborations form a significant part of their research output. Frequent co-authors include:

  • Robert Nürnberg
  • Helmut Abels
  • Andrea Signori
  • Quan Zhao
  • Patrik Knopf

Best Publications

  • On the Cahn-Hilliard equation with degenerate mobility

    Charles M. Elliott;Harald Garcke

  • Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities

    Helmut Abels;Harald Garcke;Günther Grün

  • Multicomponent alloy solidification: phase-field modeling and simulations.

    Britta Nestler;Harald Garcke;Björn Stinner

  • Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility

    John W. Barrett;James F. Blowey;Harald Garcke

  • A multiphase field concept: numerical simulations of moving phase boundaries and multiple junctions

    Harald Garcke;Britta Nestler;Barbara Stoth

  • On a fourth-order degenerate parabolic equation: global entropy estimates, existence, and qualitative behavior of solutions

    Roberta Dal Passo;Harald Garcke;Günther Grün

  • A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport

    Harald Garcke;Kei Fong Lam;Emanuel Sitka;Vanessa Styles

  • A parametric finite element method for fourth order geometric evolution equations

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • On anisotropic order parameter models for multi-phase system and their sharp interface limits

    Harald Garcke;Britta Nestler;Barbara Stoth

  • A Diffuse Interface Model for Alloys with Multiple Components and Phases

    Bjorn Stinner;Britta Nestler;Harald Garcke

  • On the parametric finite element approximation of evolving hypersurfaces in R 3

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities

    Helmut Abels;Daniel Depner;Harald Garcke

  • On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility

    Helmut Abels;Daniel Depner;Harald Garcke

  • The thin viscous flow equation in higher space dimensions

    Michiel Bertsch;Roberta Dal Passo;Harald Garcke;Günther Grün

  • Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport

    Harald Garcke;Kei Fong Lam

  • A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes

    Harald Garcke;Johannes Kampmann;Andreas Rätz;Matthias Röger

  • A multiphase Cahn--Hilliard--Darcy model for tumour growth with necrosis

    Harald Garcke;Kei Fong Lam;Robert Nürnberg;Emanuel Sitka

  • On fully practical finite element approximations of degenerate Cahn-Hilliard systems

    John W. Barrett;James F. Blowey;Harald Garcke

  • Numerical computations of faceted pattern formation in snow crystal growth.

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • Global weak solutions and asymptotic limits of a Cahn--Hilliard--Darcy system modelling tumour growth

    Harald Garcke;Kei Fong Lam

  • Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix

    Charles M. Elliott;Harald Garcke

  • On Cahn—Hilliard systems with elasticity

    Harald Garcke

Frequent Co-Authors

John W. Barrett
John W. Barrett University of Nottingham
Britta Nestler
Britta Nestler Karlsruhe Institute of Technology
Michael Hinze
Michael Hinze University of Koblenz and Landau
Peter Knabner
Peter Knabner University of Erlangen-Nuremberg
Martin Rumpf
Martin Rumpf University of Bonn
Alexandru Telea
Alexandru Telea Utrecht University
Charles M. Elliott
Charles M. Elliott University of Warwick
Elisabetta Rocca
Elisabetta Rocca University of Pavia
Jarke J. van Wijk
Jarke J. van Wijk Eindhoven University of Technology
Axel Voigt
Axel Voigt TU Dresden

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