Subfield · Computational Mechanics
Most cited papers in Computational Mechanics
What are the most cited papers in Computational Mechanics?
The most cited paper in Computational Mechanics is "Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces" (Rainer Storn, Kenneth V. Price, 1997), with 29,587 citations. Next come "Compressed sensing" (23,533) and "Two-equation eddy-viscosity turbulence models for engineering applications" (21,460).
Showing 50 of 98 papers. Every paper with more than 4,793 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces Rainer Storn, Kenneth V. Price · Journal of Global Optimization | Dec 1997 | 29,587 |
| 2 | Compressed sensing David L. Donoho · IEEE Transactions on Information Theory | Apr 2006 | 23,533 |
| 3 | Two-equation eddy-viscosity turbulence models for engineering applications Florian R. Menter · AIAA Journal | Aug 1994 | 21,460 |
| 4 | Optical Constants of the Noble Metals P. B. Johnson, R. W. Christy · Physical review. B, Solid state | 15 Dec 1972 | 20,103 |
| 5 | An analysis of variance test for normality (complete samples) Samuel S. Shapiro, M. B. Wilk · Biometrika | Dec 1965 | 19,971 |
| 6 | Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics | 3 Nov 2018 | 19,776 |
| 7 | Deterministic Nonperiodic Flow Edward N. Lorenz · Journal of the Atmospheric Sciences | Mar 1963 | 19,616 |
| 8 | Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images Stuart Geman, Donald Geman · IEEE Transactions on Pattern Analysis and Machine Intelligence | Nov 1984 | 18,093 |
| 9 | A discrete numerical model for granular assemblies Peter A. Cundall, Otto D. L. Strack · Géotechnique | Mar 1979 | 17,351 |
| 10 | Volume of fluid (VOF) method for the dynamics of free boundaries C.W. Hirt, B.D. Nichols · Journal of Computational Physics | 1981 | 16,098 |
| 11 | Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information Emmanuel J. Candès, Justin K. Romberg, Terence Tao · IEEE Transactions on Information Theory | 25 Jan 2006 | 15,931 |
| 12 | Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Stanley Osher, James A. Sethian · Journal of Computational Physics | Nov 1988 | 14,114 |
| 13 | Regularization Paths for Generalized Linear Models via Coordinate Descent. Jerome H. Friedman, Trevor Hastie, Rob Tibshirani · PubMed | 2010 | 14,024 |
| 14 | The numerical computation of turbulent flows Brian E. Launder, D. BRIAN SPALDING · Computer Methods in Applied Mechanics and Engineering | Mar 1974 | 12,847 |
| 15 | A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems Amir Beck, Marc Teboulle · SIAM Journal on Imaging Sciences | 2009 | 12,347 |
| 16 | Cognitive radio: brain-empowered wireless communications S. Haykin · IEEE Journal on Selected Areas in Communications | Feb 2005 | 12,031 |
| 17 | Savitzky-Golay Smoothing Filters William H. Press, Saul A. Teukolsky · Computers in Physics | Nov 1990 | 11,772 |
| 18 | A Statistical Distribution Function of Wide Applicability Waloddi Weibull · Journal of Applied Mechanics | Sep 1951 | 11,600 |
| 19 | SExtractor: Software for source extraction E. Bertin, Stéphane Arnouts · Astronomy & Astrophysics Supplement Series | Jun 1996 | 11,111 |
| 20 | X-ray line broadening from filed aluminium and wolfram G.K. Williamson, W H Hall · Acta Metallurgica | 1953 | 10,492 |
| 21 | Active contours without edges Tony Fan-Cheong Chan, Luminita A. Vese · IEEE Transactions on Image Processing | 2001 | 10,394 |
| 22 | A continuum method for modeling surface tension Jeremiah U. Brackbill, D.B. Kothe, Ch. Zemach · Journal of Computational Physics | Jun 1992 | 10,368 |
| 23 | Marching cubes: A high resolution 3D surface construction algorithm William E. Lorensen, H. E. Cline | Aug 1987 | 10,249 |
| 24 | UMAP: Uniform Manifold Approximation and Projection Leland McInnes, John Healy, Nathaniel Saul et al. · The Journal of Open Source Software | 2 Sep 2018 | 10,200 |
| 25 | An Introduction To Compressive Sampling Emmanuel J. Candès, Michael B. Wakin · IEEE Signal Processing Magazine | Mar 2008 | 10,167 |
| 26 | PointNet: Deep Learning on Point Sets for 3D Classification and Segmentation Raffaelli Charles, Hao Su, Kaichun Mo et al. | Jul 2017 | 9,954 |
| 27 | Dynamics of Fluids in Porous Media Jacob Bear · Soil Science | Aug 1975 | 9,834 |
| 28 | Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit Joel A. Tropp, Anna C. Gilbert · IEEE Transactions on Information Theory | Dec 2007 | 9,832 |
| 29 | De-noising by soft-thresholding David L. Donoho · IEEE Transactions on Information Theory | May 1995 | 9,709 |
| 30 | $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation Michal Aharon, Michael Elad, Alfred Marcel Bruckstein · IEEE Transactions on Signal Processing | 18 Oct 2006 | 9,612 |
| 31 | Robust Face Recognition via Sparse Representation John N. Wright, A. Yang, Arvind Ganesh et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence | 14 Jan 2009 | 9,546 |
| 32 | System identification—Theory for the user Naresh K. Sinha · Automatica | May 1989 | 9,234 |
| 33 | A Concordance Correlation Coefficient to Evaluate Reproducibility Lawrence I-Kuei Lin · Biometrics | Mar 1989 | 8,920 |
| 34 | Adaptive Subgradient Methods for Online Learning and Stochastic Optimization John C. Duchi, Elad Hazan, Yoram Singer | 2010 | 8,604 |
| 35 | Linear and Nonlinear Waves Gerald Beresford Whitham, Richard Fowler · Physics Today | Jun 1975 | 8,303 |
| 36 | Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range M. A. Biot · The Journal of the Acoustical Society of America | Mar 1956 | 8,176 |
| 37 | An empirical correction for absorption anisotropy ROBERT H. BLESSING · Acta Crystallographica Section A Foundations of Crystallography | 1995 | 7,944 |
| 38 | Ideal spatial adaptation by wavelet shrinkage David L. Donoho, Iain M. Johnstone · Biometrika | Sep 1994 | 7,913 |
| 39 | 3D U-Net: Learning Dense Volumetric Segmentation from Sparse Annotation Özgün Çiçek, Ahmed Abdulkadir, Soeren S. Lienkamp et al. · Lecture notes in computer science | 2016 | 7,911 |
| 40 | Electrospray Ionization for Mass Spectrometry of Large Biomolecules John B. Fenn, Matthias Mann, Chin Kai Meng et al. · Science | 6 Oct 1989 | 7,638 |
| 41 | Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions Jeffrey C. Lagarias, James A. Reeds, Margaret H. Wright et al. · SIAM Journal on Optimization | 1998 | 7,523 |
| 42 | Extracting and composing robust features with denoising autoencoders Pascal Vincent, Hugo Larochelle, Yoshua Bengio et al. | 2008 | 7,452 |
| 43 | Decoding by Linear Programming Emmanuel J. Candès, Terence Tao · IEEE Transactions on Information Theory | 22 Nov 2005 | 7,371 |
| 44 | LATTICE BOLTZMANN METHOD FOR FLUID FLOWS Shiyi Chen, Gary D. Doolen · Annual Review of Fluid Mechanics | 1998 | 7,339 |
| 45 | Smoothed particle hydrodynamics: theory and application to non-spherical stars R. A. Gingold, Joseph J. Monaghan · Monthly Notices of the Royal Astronomical Society | Dec 1977 | 7,263 |
| 46 | Stable signal recovery from incomplete and inaccurate measurements Emmanuel J. Candès, Justin Romberg, Terence Tao · Communications on Pure and Applied Mathematics | Mar 2006 | 7,249 |
| 47 | Stochastic gradient boosting Jerome H. Friedman · Computational Statistics & Data Analysis | Feb 2002 | 7,206 |
| 48 | Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method Bram van Leer · Journal of Computational Physics | Jul 1979 | 7,144 |
| 49 | Sparse MRI: The application of compressed sensing for rapid MR imaging Michael S. Lustig, David L. Donoho, John M. Pauly · Magnetic Resonance in Medicine | 29 Oct 2007 | 7,086 |
| 50 | Dynamic Graph CNN for Learning on Point Clouds Yue Wang, Yongbin Sun, Ziwei Liu et al. · ACM Transactions on Graphics | 10 Oct 2019 | 7,071 |
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.