Concepedia

Variational Formulation

Variational Formulation is a mathematical framework within computational mechanics that, by belonging to the class of analytical methods based on variational principles, distinguishes itself through its derivation of governing equations by minimizing a functional representing the total energy of a system, as opposed to directly solving strong-form partial differential equations.

20.5K

Publications

1.2M

Citations

23.2K

Authors

4.3K

Institutions

Publications per year

2017–2026

3.6K

Variants

Variational FormulationsVariational Principle Formulation

Parents

Children

Publications

20.5K

Variational Mode Decomposition

Konstantin Dragomiretskiy, Dominique Zosso · IEEE Transactions on Signal Processing · 2014 · 8.6K citations

, , +15

A variational approach to the theory of the elastic behaviour of multiphase materials

Zvi Hashin, S. Shtrikman · Journal of the Mechanics and Physics of Solids · 1963 · 5.7K citations

, , +12

Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K citations · Full text

, , +13

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

, , +14

An Introduction to Variational Methods for Graphical Models

Michael I. Jordan, Zoubin Ghahramani, Tommi Jaakkola et al. · Machine Learning · 1999 · 3.8K citations · Full text

, , +12

1–5 of 20.5K

Authors

23.2K

  1. MA
    Muhammad Aslam Noor

    COMSATS University Islamabad, Pakistan

    166 publications · 7.5K citations

    43

    h-index

  2. JH
    Ji‐Huan He

    Soochow University, China

    65 publications · 13.8K citations

    42

    h-index

  3. JY
    Jen‐Chih Yao

    National Sun Yat-sen University, Taiwan

    108 publications · 4.7K citations

    40

    h-index

  4. BS
    Boris S. Mordukhovich

    Wayne State University, United States

    72 publications · 3.7K citations

    38

    h-index

  5. SO
    Stanley Osher

    University of California, Los Angeles, United States

    54 publications · 10.8K citations

    37

    h-index

1–5 of 23.2K

Institutions

4.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    80 h-index

    901 publications

    55.9K citations

  2. California Institute of Technology

    Pasadena, United States

    61 h-index

    241 publications

    32.4K citations

  3. University of California, Los Angeles

    Los Angeles, United States

    60 h-index

    230 publications

    54.4K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    51 h-index

    184 publications

    17.7K citations

  5. University of Minnesota

    Minneapolis, United States

    50 h-index

    207 publications

    17.2K citations

  6. University of California, Berkeley

    Berkeley, United States

    50 h-index

    179 publications

    15.7K citations

  7. Sorbonne Université

    Paris, France

    50 h-index

    233 publications

    17.8K citations

  8. Courant Institute of Mathematical Sciences

    New York, United States

    49 h-index

    131 publications

    14.7K citations

1–8 of 4.3K

Venues

  1. Journal of Computational Physics

    367 publications · 26.2K citations

    83

    h-index

  2. Journal of Optimization Theory and Applications

    435 publications · 20.8K citations

    75

    h-index

  3. Journal of Mathematical Analysis and Applications

    523 publications · 27.6K citations

    74

    h-index

  4. 74

    h-index

  5. Mathematical Programming

    160 publications · 19.7K citations

    68

    h-index

1–5