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Douglas N. Arnold

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 57 666 566 334 265 114 22556
Engineering and Technology 56 2751 2629 833 757 108 22425

Douglas N. Arnold publications per year

The chart shows the history of publications by Douglas N. Arnold between 1979 and 2024, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Douglas N. Arnold published across 46 years, from 1979 to 2024, averaging 2.6 papers a year. Output peaked at 8 publications in 1997. 2 of the 120 publications appeared in the last two years.

No. of publications
2 4 6 8
Bar chart. Horizontal axis: year, 1979 to 2024. Vertical axis: number of publications, 0 to 8. Peak 8 publications in 1997. 1979: 1 publication 1980: 0 publications 1981: 4 publications 1982: 3 publications 1983: 2 publications 1984: 5 publications 1985: 3 publications 1986: 0 publications 1987: 2 publications 1988: 2 publications 1989: 3 publications 1990: 2 publications 1991: 0 publications 1992: 0 publications 1993: 2 publications 1994: 0 publications 1995: 1 publication 1996: 1 publication 1997: 8 publications 1998: 0 publications 1999: 1 publication 2000: 6 publications 2001: 3 publications 2002: 6 publications 2003: 4 publications 2004: 2 publications 2005: 3 publications 2006: 4 publications 2007: 6 publications 2008: 3 publications 2009: 2 publications 2010: 3 publications 2011: 2 publications 2012: 5 publications 2013: 3 publications 2014: 4 publications 2015: 5 publications 2016: 3 publications 2017: 1 publication 2018: 1 publication 2019: 3 publications 2020: 2 publications 2021: 7 publications 2022: 0 publications 2023: 1 publication 2024: 1 publication
1979 2024

120 publications in total across all disciplines

View publications per year as a table
Douglas N. Arnold: publications per year, 1979 to 2024
Year Publications
1979 1
1980 0
1981 4
1982 3
1983 2
1984 5
1985 3
1986 0
1987 2
1988 2
1989 3
1990 2
1991 0
1992 0
1993 2
1994 0
1995 1
1996 1
1997 8
1998 0
1999 1
2000 6
2001 3
2002 6
2003 4
2004 2
2005 3
2006 4
2007 6
2008 3
2009 2
2010 3
2011 2
2012 5
2013 3
2014 4
2015 5
2016 3
2017 1
2018 1
2019 3
2020 2
2021 7
2022 0
2023 1
2024 1
Total 120
Download as CSV

Douglas N. Arnold 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 Douglas N. Arnold 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, 112–116 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: 114 publications — 18th percentile

18% 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 99 114
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
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

Douglas N. Arnold 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 Douglas N. Arnold 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, 57 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: 57 D-Index — 82nd percentile

82% 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 57
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
Download as CSV

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2010 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2009 - SIAM Fellow For contributions to finite elements and the numerical analysis of partial differential equations.
  • 2008 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Douglas N. Arnold is affiliated with the University of Minnesota in the United States. Their primary research spans the fields of Engineering and Physics and Astronomy, focusing on several key subfields including Computational Theory and Mathematics, Computational Mechanics, Mathematical Physics, Atomic and Molecular Physics and Optics, and Mechanics of Materials.

Their work explores a range of advanced topics, notably:

  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Spectral Theory in Mathematical Physics
  • Quantum chaos and dynamical systems
  • Random Matrices and Applications
  • Advanced Mathematical Physics Problems

Douglas N. Arnold has contributed to multiple scholarly publications. Key recent papers include:

  • "Local L2-bounded commuting projections in FEEC", 2021, ESAIM Mathematical Modelling and Numerical Analysis
  • "The Landscape Law for Tight Binding Hamiltonians", 2022, Communications in Mathematical Physics
  • "Complexes from Complexes", 2021, Foundations of Computational Mathematics
  • "Sharp estimates for the integrated density of states in Anderson tight-binding models", 2021, Physical Review A
  • "Spectral functions and localization-landscape theory in speckle potentials", 2022, Physical Review A

Publication venues frequently associated with their work include:

  • Physical Review A
  • arXiv (Cornell University)
  • ESAIM Mathematical Modelling and Numerical Analysis
  • Communications in Mathematical Physics
  • Foundations of Computational Mathematics

Their collaboration network includes frequent coauthors such as Marcel Filoche, Svitlana Mayboroda, Shiwen Zhang, Johnny Guzmán, and Wei Wang.

Douglas N. Arnold has been recognized within the academic community through several awards, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Association for the Advancement of Science (AAAS) (2010)
  • SIAM Fellow (2009) for contributions to finite elements and the numerical analysis of partial differential equations
  • Fellow of John Simon Guggenheim Memorial Foundation (2008)

Best Publications

  • Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

    Douglas N. Arnold;Franco Brezzi;Bernardo Cockburn;L. Donatella Marini

  • An Interior Penalty Finite Element Method with Discontinuous Elements

    Douglas N. Arnold

  • A stable finite element for the stokes equations

    D. N. Arnold;F. Brezzi;M. Fortin

  • Finite element exterior calculus, homological techniques, and applications

    Douglas N. Arnold;Richard S. Falk;Ragnar Winther

  • Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates

    D. N. Arnold;F. Brezzi

  • Finite element exterior calculus: From hodge theory to numerical stability

    Douglas N. Arnold;Richard S. Falk;Ragnar Winther

  • MATHEMATICAL ELASTICITY: VOLUME I: THREE-DIMENSIONAL ELASTICITY

    Philippe G. Ciarlet

  • Multigrid in H(div) and H(curl)

    Douglas N. Arnold;Richard S. Falk;Ragnar Winther

  • PEERS: A new mixed finite element for plane elasticity

    Douglas N. Arnold;Franco Brezzi;Jim Douglas

  • Computer Solution of Ordinary Differential Equations.

    Douglas N. Arnold;L. F. Shampine;M. K. Gordon

  • Mixed finite elements for elasticity

    Douglas N. Arnold;Ragnar Winther

  • A uniformly accurate finite element method for the Reissner-Mindlin plate

    D. N. Arnold;R. S. Falk

  • Mixed finite element methods for linear elasticity with weakly imposed symmetry

    Douglas N. Arnold;Richard S. Falk;Ragnar Winther

  • Approximation by quadrilateral finite elements

    Douglas N. Arnold;Daniele Boffi;Richard S. Falk

  • On the asymptotic convergence of collocation methods

    Douglas N. Arnold;Wolfgang L. Wendland

  • Discontinuous Galerkin Methods for Elliptic Problems

    Douglas N. Arnold;Franco Brezzi;Bernardo Cockburn;Donatella Marini

  • A family of higher order mixed finite element methods for plane elasticity

    Douglas N. Arnold;Jim Douglas;Chaitan P. Gupta

  • Quadrilateral H (div) Finite Elements

    Douglas N. Arnold;Daniele Boffi;Richard S. Falk

  • Locally Adapted Tetrahedral Meshes Using Bisection

    Douglas N. Arnold;Arup Mukherjee;Luc Pouly

  • Preconditioning in H (div) and applications

    Douglas N. Arnold;Richard S. Falk;R. Winther

  • Mixed finite element methods for elliptic problems

    D. N. Arnold

  • Finite Element Exterior Calculus

    Douglas N. Arnold

  • Multigrid inH(div) andH(curl )

    Douglas N. Arnold;Richard S. Falk;Ragnar Winther

Frequent Co-Authors

Richard S. Falk
Richard S. Falk Rutgers, The State University of New Jersey
Ragnar Winther
Ragnar Winther University of Oslo
Franco Brezzi
Franco Brezzi National Research Council (CNR)
Guy David
Guy David University of Paris-Saclay
David Jerison
David Jerison MIT
Daniele Boffi
Daniele Boffi King Abdullah University of Science and Technology
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Ivo Babuška
Ivo Babuška The University of Texas at Austin
Bernardo Cockburn
Bernardo Cockburn University of Minnesota
George M. Whitesides
George M. Whitesides Harvard University

External Links

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Best Scientists Citing Douglas N. Arnold

Bernardo Cockburn

Bernardo Cockburn

University of Minnesota

Publications: 79

Gabriel N. Gatica

Gabriel N. Gatica

University of Concepción

Publications: 67

Xiu Ye

Xiu Ye

University of Arkansas at Little Rock

Publications: 59

Carsten Carstensen

Carsten Carstensen

Humboldt-Universität zu Berlin

Publications: 59

Ralf Hiptmair

Ralf Hiptmair

ETH Zurich

Publications: 57

Paul Houston

Paul Houston

University of Nottingham

Publications: 57

Franco Brezzi

Franco Brezzi

National Research Council (CNR)

Publications: 55

Jinchao Xu

Jinchao Xu

Pennsylvania State University

Publications: 55

Mary F. Wheeler

Mary F. Wheeler

The University of Texas at Austin

Publications: 53

Rolf Stenberg

Rolf Stenberg

Aalto University

Publications: 47

Ilaria Perugia

Ilaria Perugia

University of Vienna

Publications: 44

Carlo Lovadina

Carlo Lovadina

University of Milan

Publications: 43

Dominik Schötzau

Dominik Schötzau

University of British Columbia

Publications: 43

Joachim Schöberl

Joachim Schöberl

TU Wien

Publications: 42

Daniele Boffi

Daniele Boffi

King Abdullah University of Science and Technology

Publications: 37

Thomas J. R. Hughes

Thomas J. R. Hughes

The University of Texas at Austin

Publications: 37

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