Numerical methods in engineering
Numerical methods in engineering is a research topic within Mechanics of Materials. Science Explorer counts 47k research works in it since 1950. 21.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers represents advances in fracture mechanics modeling and simulation, focusing on topics such as fracture, meshless methods, extended finite element method, peridynamics, phase-field modeling, radial basis functions, crack propagation, brittle materials, discontinuities, and structural mechanics.
- Fracture
- Meshless Methods
- Extended Finite Element Method
- Peridynamics
- Phase-Field Modeling
- Radial Basis Functions
- Crack Propagation
- Brittle Materials
- Discontinuities
- Structural Mechanics
- Research works
- 47k fractional, since 1950
- In the world top 10%
- 9.8k per year above
- Top-10% rate
- 21.1% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +15% the tick is no change
Which countries lead Numerical methods in engineering research?
By volume, China and the United States publish the most (2.3k and 582 works in 2022–2025).
By volume, 2022–2025
- 1 China 2.3k works
- 2 United States 582 works
- 3 India 522 works
- 4 Germany 327 works
- 5 Iran 269 works
- 6 France 258 works
- 7 Italy 225 works
- 8 Russia 140 works
- 9 United Kingdom 134 works
- 10 Türkiye 134 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Numerical methods in engineering research?
By volume in 2022–2025, Dalian University of Technology publishes the most Numerical methods in engineering research, followed by Tongji University and Hohai University.
By volume, 2022–2025
- 1 Dalian University of Technology China 70 works
- 2 Tongji University China 69 works
- 3 Hohai University China 67 works
- 4 Harbin Institute of Technology China 46 works
- 5 Shanghai Jiao Tong University China 44 works
- 6 Centre National de la Recherche Scientifique France 42 works
- 7 Nanjing University of Aeronautics and Astronautics China 40 works
- 8 Northwestern Polytechnical University China 37 works
- 9 Tsinghua University China 36 works
- 10 Leibniz University Hannover Germany 32 works
Who are the leading researchers in Numerical methods in engineering?
The most-cited researchers publishing on Numerical methods in engineering include Xiaogang Wang, Ted Belytschko and Thomas J.R. Hughes.
- 1 Xiaogang Wang 13k citations
- 2 Ted Belytschko 4.1k citations
- 3 Thomas J.R. Hughes 3.7k citations
- 4 John W. Hutchinson 3.2k citations
- 5 A.G. Evans 3.2k citations
- 6 J. N. Reddy 2.9k citations
- 7 Zdeněk P. Bažant 2.8k citations
- 8 Timon Rabczuk 2.7k citations
- 9 Sia Nemat‐Nasser 2.7k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Numerical methods in engineering research done?
The largest centres of Numerical methods in engineering research in 2022–2025 are Beijing (China), Nanjing (China), Shanghai (China) and Xi'an (China). Among places with at least 20 works in it, it is an unusually large share of all research in Dhanbad.
Largest cities, 2022–2025
Where it is the local speciality
- DhanbadIN · 25.1 works18×
Location quotient: how much more of its research is in Numerical methods in engineering than the world average.
Where is the best place to study Numerical methods in engineering?
Among universities, judged by research, Hohai University, Dalian University of Technology and Bauhaus-Universität Weimar score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Hohai University China | 75.2 | 29.5% | 18.7× | 67 | +39.5% |
| 2 | Dalian University of Technology China | 68.3 | 22.8% | 11.4× | 70 | +14.7% |
| 3 | Bauhaus-Universität Weimar Germany | 67.7 | 37.0% | 46.1× | 13 | +47.1% |
| 4 | Leibniz University Hannover Germany | 66.8 | 26.0% | 17.2× | 32 | +41.8% |
| 5 | Tongji University China | 66.5 | 25.4% | 8.3× | 69 | +21.4% |
| 6 | Jouf University Saudi Arabia | 64.0 | 27.6% | 11.3× | 10 | — |
| 7 | Hong Kong Polytechnic University Hong Kong | 63.7 | 34.5% | 4.4× | 25 | +69.2% |
| 8 | Indian Institute of Technology Dhanbad India | 63.2 | 14.7% | 18.8× | 25 | +278.0% |
| 9 | Chongqing Normal University China | 62.3 | 36.9% | 10.3× | 9 | +60.6% |
| 10 | University of Calabria Italy | 57.7 | 26.3% | 10.1× | 13 | +26.3% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Numerical methods in engineering research growing?
Output in 2018–2022 was 15% higher than in 2013–2017, peaking in 2020. The fastest-growing topics are Numerical methods in engineering.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.