Mark Ainsworth

21.7k citations
260 papers · 11.4k · 3 hit papers · h-index 56

Impact in

    • Advanced Numerical Methods in Computational Mathematics
    • Computational Fluid Dynamics and Aerodynamics
    • Differential Equations and Numerical Methods

Papers in

Mark Ainsworth

250 papers receiving 10.8k citations

Mark Ainsworth's Hit Papers

What is the fractional Laplacian? A comparative review with new results 2019 · 271 citations
2710+9+19Years since publication50010001.5k

Peers

Mark Ainsworth
Comparison fields: 5 of 181
  • Computational Mechanics 5.4k
  • Numerical Analysis 1.2k
  • Mechanics of Materials 3.2k
  • Computational Theory and Mathematics 1.9k
  • Modeling and Simulation 456
Replace Carl de Boor with:
Carl de Boor United States
John A. Evans United States
Randall J. LeVeque United States
Jinchao Xu United States
Barry Merriman United States
Avner Friedman United States
L. Ridgway Scott United States
Neil S. Trudinger Australia
Wolfgang Hackbusch Germany
Peter Deuflhard Germany
Mark Ainsworth relative to Carl de Boor United States Carl de Boor's profile →
Citations per field
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Citations per year

Countries citing papers authored by Mark Ainsworth

Since Specialization
Citations

This map shows the geographic impact of Mark Ainsworth'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 Mark Ainsworth with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mark Ainsworth more than expected).

Fields of papers citing papers by Mark Ainsworth

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark Ainsworth. 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 Mark Ainsworth. The network helps show where Mark Ainsworth may publish in the future.

Co-authors

The 25 scholars most cited alongside Mark Ainsworth, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Mark Ainsworth Line = papers co-authored together Mark Ainsworth links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 260 papers — load more, or switch the sort, to bring in the rest.

#Work
1
A posteriori error estimation in finite element analysis
Hit paper breakdown →
19971575
2
A Posteriori Error Estimation in Finite Element Analysis
Hit paper breakdown →
20001208
3 2013363
4 1993299
5
What is the fractional Laplacian? A comparative review with new results
Hit paper breakdown →
2019271
6 2013253
7
Activation of macrophages to inhibit proliferation of Mycobacterium tuberculosis: comparison of the effects of recombinant gamma-interferon on human monocytes and murine peritoneal macrophages.
1986221
8 2004213
9 2004174
10 2010154
11 2006152
12 2007136
13 2011124
14 1989122
15 2009122
16 2017116
17
Ligation of ICAM-1 on endothelial cells leads to expression of VCAM-1 via a nuclear factor-kappaB-independent mechanism.
1999112
18 2003111
19 1997111
20 2014109

About Mark Ainsworth

Mark Ainsworth is a scholar working on Computational Mechanics, Mechanics of Materials, Genetics, Computational Theory and Mathematics and Electrical and Electronic Engineering, having authored 260 papers that have together received 11.4k indexed citations. Recurring topics across this work include Advanced Numerical Methods in Computational Mathematics (102 papers), Numerical methods in engineering (64 papers), Inflammatory Bowel Disease (52 papers), Electromagnetic Simulation and Numerical Methods (42 papers), Advanced Mathematical Modeling in Engineering (33 papers), Immunodeficiency and Autoimmune Disorders (16 papers), Microscopic Colitis (13 papers) and Electromagnetic Scattering and Analysis (13 papers). The work is most often cited by research in Computational Mechanics (5.4k citations), Numerical Analysis (1.2k citations), Mechanics of Materials (3.2k citations), Computational Theory and Mathematics (1.9k citations) and Modeling and Simulation (456 citations). Mark Ainsworth has collaborated with scholars based in United States, United Kingdom and Denmark. Frequent co-authors include J. Tinsley Oden, J. Tinsley Oden, Jørn Brynskov, Klaus Bendtzen, Casper Steenholdt, Ole Østergaard Thomsen, Ole Haagen Nielsen, Zhiping Mao, Joe Coyle and Alan W. Craig. Their work appears in journals such as Computer Methods in Applied Mechanics and Engineering, SIAM Journal on Numerical Analysis, Scandinavian Journal of Gastroenterology, SIAM Journal on Scientific Computing and Gastroenterology.

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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