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Topic · Electrical and Electronic Engineering

Electromagnetic Simulation and Numerical Methods

Electromagnetic Simulation and Numerical Methods is a research topic within Electrical and Electronic Engineering. Science Explorer counts 32k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the development and analysis of Finite-Difference Time-Domain (FDTD) methods for simulating electromagnetic wave propagation. It includes research on Discontinuous Galerkin methods, Perfectly Matched Layers, stability and dispersion analysis, high-order schemes, and unconditionally stable algorithms for time-domain simulations of Maxwell's equations in complex media.

  • Finite-Difference Time-Domain
  • Electromagnetics
  • Discontinuous Galerkin
  • Perfectly Matched Layer
  • Stability Analysis
  • Dispersion Analysis
  • High-Order Methods
  • Unconditionally Stable Schemes
  • Time-Domain Simulation
  • Maxwell's Equations
Research works
32k
fractional, since 1950
In the world top 10%
3.2k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
-11%
the tick is no change
Largest producer
China
49% of the 10 largest, 2022-now
Electromagnetic Simulation and Numerical Methods

Which countries lead Electromagnetic Simulation and Numerical Methods research?

By volume, China and the United States publish the most (1.2k and 390 works in 2022-now).

By volume, 2022-now

  1. 1 China 1.2k works
  2. 2 United States 390 works
  3. 3 Germany 157 works
  4. 4 France 155 works
  5. 5 Italy 110 works
  6. 6 Japan 108 works
  7. 7 Russia 106 works
  8. 8 India 104 works
  9. 9 Canada 73 works
  10. 10 United Kingdom 69 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.

China: 48.8%United States: 15.7%Germany: 6.3%France: 6.2%6 others listed: 22.9%49%largest
China1,214 · 48.8%United States390 · 15.7%Germany157 · 6.3%France155 · 6.2%6 others listed571 · 22.9%

Shares of the rows listed above, not of the whole node.

Which institutions lead Electromagnetic Simulation and Numerical Methods research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Electromagnetic Simulation and Numerical Methods research, followed by University of Electronic Science and Technology of China and Xidian University.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 65 works
  2. 2 University of Electronic Science and Technology of ChinaChina 50 works
  3. 3 Xidian UniversityChina 49 works
  4. 4 Chinese Academy of SciencesChina 42 works
  5. 5 Xi'an Jiaotong UniversityChina 36 works
  6. 6 Anhui UniversityChina 34 works
  7. 7 Russian Academy of SciencesRussia 33 works
  8. 8 Beihang UniversityChina 29 works
  9. 9 Beijing Institute of TechnologyChina 25 works
  10. 10 Zhejiang UniversityChina 23 works

Who are the leading researchers in Electromagnetic Simulation and Numerical Methods?

The most-cited researchers publishing on Electromagnetic Simulation and Numerical Methods include Xiaogang Wang and Donald G. Truhlar.

  1. 1 Xiaogang Wang China 260k citations
  2. 2 Donald G. Truhlar United States 230k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Electromagnetic Simulation and Numerical Methods?

The most cited paper in Electromagnetic Simulation and Numerical Methods is "Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media" (Kane S. Yee, 1966), with 14,949 citations. Next come "A perfectly matched layer for the absorption of electromagnetic waves" (10,127) and "The partition of unity finite element method: Basic theory and applications" (3,457).

Most cited papers
#PaperReleasedCitations
1 Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media Kane S. Yee · IEEE Transactions on Antennas and Propagation May 1966 14,949
2 A perfectly matched layer for the absorption of electromagnetic waves Jean-Pierre Bérenger · Journal of Computational Physics Oct 1994 10,127
3 The partition of unity finite element method: Basic theory and applications Jens Markus Melenk, Ivo M. Babuska · Computer Methods in Applied Mechanics and Engineering Dec 1996 3,457
4 Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn et al. · SIAM Journal on Numerical Analysis 2002 3,312
5 Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis Steven G. Johnson, John D. Joannopoulos · Optics Express Open access 29 Jan 2001 3,227
All 99 most cited papers, with filters and sorting

Where is Electromagnetic Simulation and Numerical Methods research done?

The largest centres of Electromagnetic Simulation and Numerical Methods research in 2022-now are Beijing (China), Xi'an (China), Nanjing (China) and Chengdu (China).

Largest cities, 2022-now

  1. 1 BeijingChina 206 works
  2. 2 Xi'anChina 117 works
  3. 3 NanjingChina 91 works
  4. 4 ChengduChina 75 works
  5. 5 ShanghaiChina 64 works
  6. 6 HefeiChina 55 works
  7. 7 WuhanChina 48 works
  8. 8 ParisFrance 46 works
  9. 9 HangzhouChina 43 works
  10. 10 MoscowRussia 41 works
See Electromagnetic Simulation and Numerical Methods on the map

Where is the best place to study Electromagnetic Simulation and Numerical Methods?

Among universities, judged by research, Southern University of Science and Technology, Dalian University of Technology and Anhui University 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.

0%20%40%mean 16.01%fractional works in this field (log) →share of work in the world top 10% →Southern University …Dalian University of…Anhui UniversityXi'an Jiaotong Unive…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Southern University of Science and TechnologyChina 62.434.4%5.8×9 +84.3%
2Dalian University of TechnologyChina 57.234.1%6.0×16 -0.4%
3Anhui UniversityChina 53.212.0%26.8×34 +91.6%
4Xi'an Jiaotong UniversityChina 49.56.9%7.3×36 +18.4%
5Politecnico di TorinoItaly 48.59.6%15.4×19 +43.4%
6Xidian UniversityChina 48.06.7%24.1×49 -5.6%
7University of Electronic Science and Technology of ChinaChina 46.05.5%16.0×50 -11.3%
8Beihang UniversityChina 45.89.8%9.3×29 +8.5%
9Harbin Institute of TechnologyChina 44.719.3%3.4×16 +36.1%
10Tianjin UniversityChina 44.221.8%3.3×11 +68.2%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Electromagnetic Simulation and Numerical Methods, country by country

Is Electromagnetic Simulation and Numerical Methods research growing?

Output in 2022-2025 was 11% lower than in 2018-2021, peaking in 2002.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Electromagnetic Simulation and Numerical Methods as a percentage of every work published that year, 0.013% in 2024.

still counting0.050%0.10%Electromagnetic Simulation and Numerical Methods0.012% in 202519801990200020102020

Fractional works of Electromagnetic Simulation and Numerical Methods over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Electromagnetic Simulation and Numerical Methods10.1% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

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.

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