Most cited papers in Electromagnetic Simulation and Numerical Methods
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).
Showing 50 of 99 papers. Every paper with more than 697 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 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 | 29 Jan 2001 | 3,227 |
| 6 | Meep: A flexible free-software package for electromagnetic simulations by the FDTD method Ardavan F. Oskooi, David J. Roundy, Mihai Ibanescu et al. · Computer Physics Communications | 23 Nov 2009 | 2,749 |
| 7 | A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface Robert G. Kouyoumjian, Prabhakar H. Pathak · Proceedings of the IEEE | 1974 | 2,634 |
| 8 | Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations Gerrit Mur · IEEE Transactions on Electromagnetic Compatibility | Nov 1981 | 2,566 |
| 9 | Improved numerical dissipation for time integration algorithms in structural dynamics Hans M. Hilber, Thomas J.R. Hughes, Robert L. Taylor · Earthquake Engineering & Structural Dynamics | Jul 1977 | 2,436 |
| 10 | Absorbing boundary conditions for the numerical simulation of waves Bjorn E. Engquist, Andrew J. Majda · Mathematics of Computation | 1977 | 2,411 |
| 11 | A simple error estimator and adaptive procedure for practical engineerng analysis Olgierd Cecil Zienkiewicz, J.Z. Zhu · International Journal for Numerical Methods in Engineering | Feb 1987 | 2,410 |
| 12 | THE PARTITION OF UNITY METHOD Ivo M. Babuska, Jens Markus Melenk · International Journal for Numerical Methods in Engineering | 28 Feb 1997 | 2,368 |
| 13 | A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method Jaeung Chung, Gregory M. Hulbert · Journal of Applied Mechanics | Jun 1993 | 2,350 |
| 14 | Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes A. Jameson, Wolfgang M. Schmidt, Eli Turkel | 23 Jun 1981 | 2,334 |
| 15 | A mixed finite element method for 2-nd order elliptic problems Pierre-Arnaud Raviart, J. M. Thomas · Lecture notes in mathematics | 1977 | 2,224 |
| 16 | A posteriori error estimation in finite element analysis Mark Andrew Ainsworth, J. Tinsley Oden · Computer Methods in Applied Mechanics and Engineering | Mar 1997 | 2,193 |
| 17 | The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique Olgierd Cecil Zienkiewicz, J.Z. Zhu · International Journal for Numerical Methods in Engineering | 30 May 1992 | 2,020 |
| 18 | Digital Computer Solution of Electromagnetic Transients in Single-and Multiphase Networks Hermann W. Dommel · IEEE Transactions on Power Apparatus and Systems | Apr 1969 | 1,719 |
| 19 | DFTB+, a Sparse Matrix-Based Implementation of the DFTB Method Bálint Aradi, Ben Hourahine, Thomas Frauenheim · The Journal of Physical Chemistry A | 14 Jun 2007 | 1,717 |
| 20 | A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates Weng Cho Chew, William H. Weedon · Microwave and Optical Technology Letters | Sep 1994 | 1,682 |
| 21 | The modified nodal approach to network analysis Chung-Wen Ho, Albert E. Ruehli, P.A. Brennan · IEEE Transactions on Circuits and Systems | Jun 1975 | 1,549 |
| 22 | Computational Electromagnetics: The Finite-Difference Time-Domain Method Allen Taflove, Susan C. Hagness, Melinda J. Piket-May · Elsevier eBooks | 2005 | 1,509 |
| 23 | The fast multipole method for the wave equation: a pedestrian prescription Ronald R. Coifman, Vladimir Abramovich Rokhlin, Stephen M. Wandzura · IEEE Antennas and Propagation Magazine | Jun 1993 | 1,484 |
| 24 | On the numerical solution of singular integral equations F. Erdoğan, G. D. Gupta · Quarterly of Applied Mathematics | 1972 | 1,476 |
| 25 | PRIMA: passive reduced-order interconnect macromodeling algorithm Altan Odabasioglu, M. Celik, Lawrence T. Pileggi · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems | 1998 | 1,467 |
| 26 | A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations Thomas J.R. Hughes, Leopoldo P. Franca, Gregory M. Hulbert · Computer Methods in Applied Mechanics and Engineering | May 1989 | 1,467 |
| 27 | The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures Dimitri Komatitsch, Jean‐Pierre Vilotte · Bulletin of the Seismological Society of America | Apr 1998 | 1,430 |
| 28 | Effective action for composite operators John M. Cornwall, R. Jackiw, E. T. Tomboulis · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Oct 1974 | 1,394 |
| 29 | Exponential Time Differencing for Stiff Systems Stephen Michael Cox, Paul C. Matthews · Journal of Computational Physics | Mar 2002 | 1,384 |
| 30 | Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations Uri M. Ascher, Steven J. Ruuth, Raymond J. Spiteri · Applied Numerical Mathematics | Nov 1997 | 1,357 |
| 31 | A stabilized conforming nodal integration for Galerkin mesh-free methods Jiun‐Shyan Chen, C.T. Wu, Sangpil Yoon et al. · International Journal for Numerical Methods in Engineering | 2000 | 1,344 |
| 32 | Time-dependent boundary conditions for hyperbolic systems, II Kevin W. Thompson · Journal of Computational Physics | Aug 1990 | 1,330 |
| 33 | Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations Allen Taflove, Morris E. Brodwin · IEEE Transactions on Microwave Theory and Techniques | Aug 1975 | 1,321 |
| 34 | An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices Stephen D. Gedney · IEEE Transactions on Antennas and Propagation | Dec 1996 | 1,320 |
| 35 | A method for the numerical inversion of Laplace transforms Gerald Hönig, U. Hirdes · Journal of Computational and Applied Mathematics | Feb 1984 | 1,274 |
| 36 | Two families of mixed finite elements for second order elliptic problems Franco Brezzi, Jim Jr. Douglas, Luisa Donatella Marini · Numerische Mathematik | Jun 1985 | 1,266 |
| 37 | Absorbing boundary conditions for acoustic and elastic wave equations Robert W. Clayton, Bjorn E. Engquist · Bulletin of the Seismological Society of America | Dec 1977 | 1,262 |
| 38 | deal.II—A general-purpose object-oriented finite element library Wolfgang Bangerth, Ralf Hartmann, Guido Kanschat · ACM Transactions on Mathematical Software | 15 Aug 2007 | 1,258 |
| 39 | The application of integral equation methods to the numerical solution of some exterior boundary-value problems A.J. Burton, Gifford F. Miller · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 8 Jun 1971 | 1,205 |
| 40 | A‐posteriori error estimates for the finite element method Ivo M. Babuska, Werner C. Rheinboldt · International Journal for Numerical Methods in Engineering | 1978 | 1,195 |
| 41 | Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method F. Durbin · The Computer Journal | Nov 1974 | 1,155 |
| 42 | Matrix formulation of electromagnetic scattering P. C. Waterman · Proceedings of the IEEE | 1965 | 1,126 |
| 43 | Symmetry, Unitarity, and Geometry in Electromagnetic Scattering P. C. Waterman · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Feb 1971 | 1,107 |
| 44 | The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity Olgierd Cecil Zienkiewicz, J.Z. Zhu · International Journal for Numerical Methods in Engineering | 30 May 1992 | 1,082 |
| 45 | Finite element exterior calculus, homological techniques, and applications Douglas N. Arnold, Richard S. Falk, Ragnar Winther · Acta Numerica | May 2006 | 1,056 |
| 46 | A perfectly matched anisotropic absorber for use as an absorbing boundary condition Zachary S. Sacks, D.M. Kingsland, Robert Lee et al. · IEEE Transactions on Antennas and Propagation | 1995 | 1,056 |
| 47 | Time-Splitting Methods for Elastic Models Using Forward Time Schemes Louis J. Wicker, William C. Skamarock · Monthly Weather Review | Aug 2002 | 1,029 |
| 48 | Radiation boundary conditions for wave‐like equations ALVIN BAYLISS, Eli Turkel · Communications on Pure and Applied Mathematics | Nov 1980 | 1,026 |
| 49 | Numerical Continuation Methods--An Introduction. Layne T. Watson, Eugene L. Allgower, Kurt Georg · Mathematics of Computation | Jul 1992 | 1,019 |
| 50 | Shooting and bouncing rays: calculating the RCS of an arbitrarily shaped cavity Hao Ling, Ri‐Chee Chou, Shung W. Lee · IEEE Transactions on Antennas and Propagation | Feb 1989 | 1,002 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.