Mark Ainsworth

21.4k total citations · 4 hit papers
260 papers, 11.3k citations indexed

About

Mark Ainsworth is a scholar working on Computational Mechanics, Mechanics of Materials and Genetics. According to data from OpenAlex, Mark Ainsworth has authored 260 papers receiving a total of 11.3k indexed citations (citations by other indexed papers that have themselves been cited), including 110 papers in Computational Mechanics, 71 papers in Mechanics of Materials and 60 papers in Genetics. Recurrent topics in Mark Ainsworth's work include Advanced Numerical Methods in Computational Mathematics (102 papers), Numerical methods in engineering (64 papers) and Inflammatory Bowel Disease (59 papers). Mark Ainsworth is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (102 papers), Numerical methods in engineering (64 papers) and Inflammatory Bowel Disease (59 papers). Mark Ainsworth collaborates with scholars based in United States, United Kingdom and Denmark. Mark Ainsworth's 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 and has published in prestigious journals such as New England Journal of Medicine, Annals of Internal Medicine and Gastroenterology.

In The Last Decade

Mark Ainsworth

250 papers receiving 10.7k citations

Hit Papers

align trajectories sort by overperformance

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.

A posteriori error estimation in finite element analysis

1997 1.6k citations Mark Ainsworth et al. Computer Methods in Applied Mechanics and Engineering profile →
A Posteriori Error Estimation in Finite Element Analysis

2000 1.2k citations Mark Ainsworth et al. profile →
Individualised therapy is more cost-effective than dose intensification in patients with Crohn’s disease who lose response to anti-TNF treatment: a randomised, controlled trial

2013 361 citations Casper Steenholdt, Jørn Brynskov et al. Gut profile →
What is the fractional Laplacian? A comparative review with new results

2019 255 citations Mark Ainsworth et al. profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Mark Ainsworth	5.4k	3.2k	1.9k	1.9k	1.9k	260	11.3k
Avner Friedman	2.0k 0.4×	1.2k 0.4×	613 0.3×	6.8k 3.5×	695 0.4×	430	17.6k
Barry Merriman	4.0k 0.7×	675 0.2×	477 0.2×	464 0.2×	926 0.5×	94	11.0k
S. Jonathan Chapman	653 0.1×	231 0.1×	909 0.5×	598 0.3×	301 0.2×	231	6.5k
John A. Evans	4.4k 0.8×	1.9k 0.6×	187 0.1×	808 0.4×	125 0.1×	261	10.8k
Kottakkaran Sooppy Nisar	6.0k 1.1×	543 0.2×	911 0.5×	440 0.2×	251 0.1×	1.1k	21.9k
Feng Liu	561 0.1×	468 0.1×	1.5k 0.8×	355 0.2×	153 0.1×	753	10.0k
Akira Hasegawa	1.7k 0.3×	2.0k 0.6×	5.3k 2.8×	43 0.0×	338 0.2×	1.2k	45.0k
Alfio Quarteroni	14.1k 2.6×	4.3k 1.3×	2.4k 1.3×	4.8k 2.5×	53 0.0×	441	29.4k
H. T. Banks	533 0.1×	532 0.2×	236 0.1×	1.1k 0.6×	255 0.1×	344	6.0k
Spencer J. Sherwin	7.3k 1.4×	769 0.2×	711 0.4×	471 0.2×	22 0.0×	264	11.9k

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-authorship network of co-authors of Mark Ainsworth

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Ainsworth. A scholar is included among the top collaborators of Mark Ainsworth 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 Mark Ainsworth. Mark Ainsworth is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Steenholdt, Casper, et al.. (2025). Identifying Genetic Factors Influencing the Development of Anti-Drug Antibodies in Inflammatory Bowel Disease: A Scoping Review. Journal of Inflammation Research. Volume 18. 17589–17610.

Ainsworth, Mark, et al.. (2024). Two and three dimensional H2-conforming finite element approximations without C1-elements. Computer Methods in Applied Mechanics and Engineering. 431. 117267–117267.

Nielsen, Ole Haagen, et al.. (2024). Immunogenicity of Therapeutic Antibodies Used for Inflammatory Bowel Disease: Treatment and Clinical Considerations. Drugs. 85(1). 67–85. 5 indexed citations

Ainsworth, Mark, et al.. (2023). Uniform preconditioners for high order finite element approximations of planar linear elasticity. Mathematics of Computation. 93(349). 2067–2102.

Ainsworth, Mark, et al.. (2023). Statically Condensed Iterated Penalty Method for High Order Finite Element Discretizations of Incompressible Flow. SIAM Journal on Scientific Computing. 45(6). A3095–A3120. 4 indexed citations

Ainsworth, Mark, Casper Steenholdt, Marie Skougaard, et al.. (2022). Fatigue is a systemic extraintestinal disease manifestation largely independent of disease activity, chronicity, and nutritional deficiencies in inflammatory bowel disease on biologics. Scandinavian Journal of Gastroenterology. 57(9). 1051–1057. 7 indexed citations

Ainsworth, Mark & Guosheng Fu. (2018). Bernstein–Bézier bases for tetrahedral finite elements. Computer Methods in Applied Mechanics and Engineering. 340. 178–201. 7 indexed citations

Ainsworth, Mark & Guosheng Fu. (2018). Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation. Journal of Scientific Computing. 79(1). 209–226. 1 indexed citations

Ainsworth, Mark & Guosheng Fu. (2018). Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations. Journal of Scientific Computing. 77(1). 443–466. 13 indexed citations

10.

Steenholdt, Casper, Mehmet Coskun, Klaus Bendtzen, et al.. (2016). Circulating Cytokines and Cytokine Receptors in Infliximab Treatment Failure Due to TNF-α Independent Crohn Disease. Medicine. 95(16). e3417–e3417. 17 indexed citations

11.

Nielsen, Ole Haagen, Jakob Benedict Seidelin, Mark Ainsworth, & Mehmet Coskun. (2016). Will novel oral formulations change the management of inflammatory bowel disease?. Expert Opinion on Investigational Drugs. 25(6). 709–718. 22 indexed citations

12.

Steenholdt, Casper, Klaus Bendtzen, Jørn Brynskov, et al.. (2015). P471. Infliximab trough levels are lower in patients with acute severe, compared to moderate-severe ulcerative colitis patients. Journal of Crohn s and Colitis. 9(suppl 1). S314–S315. 1 indexed citations

13.

Steenholdt, Casper, et al.. (2014). Discontinuation of infliximab therapy in patients with Crohn's disease in sustained complete remission (the STOP IT study): protocol for a double-blind, randomised, placebo-controlled, multicentre trial. BMJ Open. 4(12). e005887–e005887. 16 indexed citations

14.

Steenholdt, Casper, Jørn Brynskov, Ole Østergaard Thomsen, et al.. (2013). Individualised therapy is more cost-effective than dose intensification in patients with Crohn’s disease who lose response to anti-TNF treatment: a randomised, controlled trial. Gut. 63(6). 919–927. 361 indexed citations breakdown →

15.

Ainsworth, Mark. (2005). A posteriori error estimation for non-conforming quadrilateral finite elements. Strathprints: The University of Strathclyde institutional repository (University of Strathclyde). 2(1). 1–14. 25 indexed citations

16.

Ainsworth, Mark. (2003). Topics in Computational Wave Propagation: Direct and Inverse Problems. Strathprints: The University of Strathclyde institutional repository (University of Strathclyde). 31 indexed citations

17.

Ainsworth, Mark, Jeremy Levesley, & Marco Marletta. (1999). The graduate student's guide to numerical analysis'98: lecture notes from the VIII EPSRC Summer School in Numerical Analysis. CERN Document Server (European Organization for Nuclear Research). 4 indexed citations

18.

Ainsworth, Mark. (1997). Wavelets, multilevel methods and elliptic PDEs. Oxford University Press eBooks. 72 indexed citations

19.

Ainsworth, Mark, et al.. (1991). A comparison of short-answer and extended-matching question scores in an objective structured clinical exam. Academic Medicine. 66(9). S40–2. 6 indexed citations

20.

Ainsworth, Mark, et al.. (1953). An Instrument for Determining Lung Air-Way Resistance. Defense Technical Information Center (DTIC). 1 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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