Concepedia

Homogenization Theory

Homogenization Theory is a mathematical framework within the study of partial differential equations that characterizes the asymptotic behavior of solutions in heterogeneous media by deriving effective, macroscopic equations that capture averaged properties of the microstructure.

2K

Publications

95K

Citations

3K

Authors

1.1K

Institutions

Publications per year

2017–2026

426

Variants

Homogenization MethodMathematical Homogenization

Parents

Publications

2K

Homogenization and Two-Scale Convergence

Grégoire Allaire · SIAM Journal on Mathematical Analysis · 1992 · 2.3K citations · Full text

, , +11

Geometric homogeneity with applications to finite-time stability

Sanjay P. Bhat, Dennis S. Bernstein · Mathematics of Control Signals and Systems · 2005 · 1.6K citations · Full text

, , +13

A General Convergence Result for a Functional Related to the Theory of Homogenization

Gabriel Nguetseng · SIAM Journal on Mathematical Analysis · 1989 · 1.4K citations

, , +10

Materials with prescribed constitutive parameters: An inverse homogenization problem

Ole Sigmund · International Journal of Solids and Structures · 1994 · 1K citations

, , +12

Wave propagation in two-dimensional periodic lattices

A. Srikantha Phani, J. Woodhouse, N.A. Fleck · The Journal of the Acoustical Society of America · 2006 · 698 citations · Full text

, , +17

1–5 of 2K

Authors

3K

  1. AP
    Andrey Piatnitski

    P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Russia

    25 publications · 902 citations

    19

    h-index

  2. JF
    Jacob Fish

    Rensselaer Polytechnic Institute, United States

    21 publications · 1.7K citations

    19

    h-index

  3. GA
    Grégoire Allaire

    École Polytechnique, France

    22 publications · 3.4K citations

    18

    h-index

  4. PE
    Panagiotis E. Souganidis

    Université Paris Dauphine-PSL, France

    15 publications · 1.4K citations

    15

    h-index

  5. AG
    Antoine Gloria

    Université Libre de Bruxelles, Belgium

    15 publications · 805 citations

    14

    h-index

1–5 of 3K

Institutions

1.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    46 h-index

    379 publications

    15.4K citations

  2. Sorbonne Université

    Paris, France

    27 h-index

    89 publications

    4.7K citations

  3. École Polytechnique

    Palaiseau, France

    27 h-index

    63 publications

    2K citations

  4. Courant Institute of Mathematical Sciences

    New York, United States

    25 h-index

    47 publications

    4.9K citations

  5. Laboratoire Jacques-Louis Lions

    Paris, France

    23 h-index

    43 publications

    2.4K citations

  6. Université Paris Dauphine-PSL

    Paris, France

    22 h-index

    37 publications

    1.5K citations

  7. Université Paris Cité

    Paris, France

    21 h-index

    38 publications

    2.4K citations

  8. The University of Texas at Austin

    Austin, United States

    21 h-index

    38 publications

    2.3K citations

1–8 of 1.1K

Venues

  1. International Journal of Solids and Structures

    70 publications · 6K citations

    39

    h-index

  2. Journal of the Mechanics and Physics of Solids

    45 publications · 3.8K citations

    36

    h-index

  3. 28

    h-index

  4. Archive for Rational Mechanics and Analysis

    38 publications · 2.5K citations

    23

    h-index

  5. SIAM Journal on Mathematical Analysis

    44 publications · 6.2K citations

    23

    h-index

1–5