Concepedia

Helmholtz Decomposition

Helmholtz Decomposition is a theorem in vector calculus stating that any sufficiently smooth, rapidly decaying vector field in three dimensions can be uniquely decomposed into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field.

278

Publications

14.2K

Citations

552

Authors

322

Institutions

Publications per year

2017–2026

74

Variants

Fundamental Theorem Of Vector Calculus

Parents

Publications

278

Polar factorization and monotone rearrangement of vector‐valued functions

Yann Brenier · Communications on Pure and Applied Mathematics · 1991 · 1.7K citations

, , +8

Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies

Jun-Sheng Zhao, Weng Cho Chew · IEEE Transactions on Antennas and Propagation · 2000 · 464 citations

, , +17

Mesoscale to Submesoscale Wavenumber Spectra in Drake Passage

César B. Rocha, T. K. Chereskin, Sarah T. Gille et al. · Journal of Physical Oceanography · 2015 · 334 citations

, , +17

The Helmholtz-Hodge Decomposition—A Survey

Harsh Bhatia, Gregory Norgard, Valerio Pascucci et al. · IEEE Transactions on Visualization and Computer Graphics · 2012 · 275 citations

, , +11

Residual based a posteriori error estimators for eddy current computation

R. M. Beck, Ralf Hiptmair, Ronald H. W. Hoppe et al. · ESAIM Mathematical Modelling and Numerical Analysis · 2000 · 229 citations · Full text

, , +17

1–5 of 278

Authors

552

  1. IV
    Ismo V. Lindell

    Aalto University, Finland

    5 publications · 97 citations

    5

    h-index

  2. CC
    Carsten Carstensen

    Humboldt-Universität zu Berlin, Germany

    5 publications · 194 citations

    5

    h-index

  3. ML
    Mario Lucido

    Università degli studi di Cassino e del Lazio Meridionale, Italy

    4 publications · 121 citations

    4

    h-index

  4. MS
    Mira Schedensack

    Humboldt-Universität zu Berlin, Germany

    4 publications · 95 citations

    4

    h-index

  5. RF
    Reinhard Farwig

    Technische Universität Darmstadt, Germany

    4 publications · 252 citations

    4

    h-index

1–5 of 552

Institutions

322

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    23 publications

    823 citations

  2. Ghent University

    Ghent, Belgium

    7 h-index

    9 publications

    268 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    6 h-index

    12 publications

    1.4K citations

  4. Chinese Academy of Sciences

    Beijing, China

    5 h-index

    8 publications

    406 citations

  5. Colorado School of Mines

    Golden, United States

    5 h-index

    9 publications

    650 citations

  6. Stanford University

    Stanford, United States

    5 h-index

    12 publications

    384 citations

  7. Technische Universität Darmstadt

    Darmstadt, Germany

    5 h-index

    5 publications

    163 citations

  8. University of Kentucky

    Lexington, United States

    5 h-index

    9 publications

    419 citations

1–8 of 322

Venues

  1. IEEE Transactions on Antennas and Propagation

    14 publications · 1.2K citations

    14

    h-index

  2. Geophysics

    11 publications · 1.1K citations

    11

    h-index

  3. SIAM Journal on Numerical Analysis

    10 publications · 564 citations

    10

    h-index

  4. 9

    h-index

  5. Journal of Fluid Mechanics

    8 publications · 444 citations

    8

    h-index

1–5