Concepedia

Dual Variational Formulation

Dual Variational Formulation is a variational formulation that characterizes the solution of a primal optimization problem through the optimization of a dual functional derived via Lagrangian duality, often involving adjoint states or complementary energy principles to reformulate the original problem in a dual function space.

276

Publications

17.3K

Citations

530

Authors

307

Institutions

Publications per year

2017–2026

53

Parents

Publications

276

Dual variational methods in critical point theory and applications

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

, , +14

A dual algorithm for the solution of nonlinear variational problems via finite element approximation

Daniel Gabay, Bertrand Mercier · Computers & Mathematics with Applications · 1976 · 2.6K citations · Full text

, , +15

Dual extrapolation and its applications to solving variational inequalities and related problems

Yurii Nesterov · Mathematical Programming · 2006 · 282 citations

, , +11

Dual formulation of four‐dimensional variational assimilation

Philippe Courtier · Quarterly Journal of the Royal Meteorological Society · 1997 · 253 citations

, , +13

An algebraic theory for primal and dual substructuring methods by constraints

Jan Mandel, Clark R. Dohrmann, Radek Tezaur · Applied Numerical Mathematics · 2004 · 242 citations

, , +14

1–5 of 276

Authors

530

  1. GN
    Gabriel N. Gatica

    University of Concepción, Chile

    9 publications · 257 citations

    9

    h-index

  2. GA
    Gonzalo Alduncin

    Universidad Nacional Autónoma de México, Mexico

    5 publications · 90 citations

    5

    h-index

  3. ST
    Savin Treanţă

    Universitatea Națională de Știință și Tehnologie Politehnica București, Romania

    3 publications · 53 citations

    3

    h-index

  4. BM
    B. Mond

    La Trobe University, Australia

    3 publications · 176 citations

    3

    h-index

  5. MS
    Mircea Sofonea

    Université de Perpignan, France

    3 publications · 46 citations

    3

    h-index

1–5 of 530

Institutions

307

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    21 publications

    3.1K citations

  2. University of Concepción

    Concepción, Chile

    5 h-index

    10 publications

    293 citations

  3. University of British Columbia

    Vancouver, Canada

    5 h-index

    7 publications

    249 citations

  4. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    5 h-index

    7 publications

    145 citations

  5. University of Wisconsin–Madison

    Madison, United States

    5 h-index

    5 publications

    4.7K citations

  6. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    5 h-index

    5 publications

    90 citations

  7. Université de Perpignan

    Perpignan, France

    4 h-index

    8 publications

    116 citations

  8. University of Cambridge

    Cambridge, United Kingdom

    4 h-index

    6 publications

    452 citations

1–8 of 307

Venues

  1. 14

    h-index

  2. Computational Optimization and Applications

    6 publications · 367 citations

    6

    h-index

  3. Nonlinear Analysis

    5 publications · 259 citations

    5

    h-index

  4. Journal of Global Optimization

    5 publications · 110 citations

    5

    h-index

  5. IEEE Transactions on Magnetics

    4 publications · 184 citations

    4

    h-index

1–5