Concepedia

Localized Orthogonal Decomposition

Localized Orthogonal Decomposition is a numerical method in the field of multiscale finite element analysis that constructs a stable, problem-adapted basis through the orthogonal projection of fine-scale features onto a coarse-scale space with localized support, thereby enabling accurate and computationally efficient approximation of solutions to partial differential equations with multiscale data.

35

Publications

2.1K

Citations

65

Authors

46

Institutions

Publications per year

2017–2026

8

Parents

Publications

35

Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods

Ramón Codina · Computer Methods in Applied Mechanics and Engineering · 2000 · 408 citations

, , +13

Group-velocity dispersion in photonic crystal fibers

D. Mogilevtsev, T. A. Birks, P. St. J. Russell · Optics Letters · 1998 · 333 citations

, , +16

Proper Orthogonal Decomposition Extensions for Parametric Applications in Compressible Aerodynamics

Tan Bui–Thanh, Murali Damodaran, Karen Willcox · 21st AIAA Applied Aerodynamics Conference · 2003 · 262 citations

, , +16

Localized Orthogonal Decomposition Techniques for Boundary Value Problems

Patrick Henning, Axel Målqvist · SIAM Journal on Scientific Computing · 2014 · 94 citations · Full text

, , +15

A localized orthogonal decomposition method for semi-linear elliptic problems

Patrick Henning, Axel Målqvist, Daniel Peterseim · ESAIM Mathematical Modelling and Numerical Analysis · 2013 · 86 citations · Full text

, , +17

1–5 of 35

Authors

65

  1. AM
    Axel Målqvist

    Chalmers University of Technology, Sweden

    7 publications · 312 citations

    7

    h-index

  2. PH
    Patrick Henning

    KTH Royal Institute of Technology, Sweden

    6 publications · 333 citations

    6

    h-index

  3. DP
    Daniel Peterseim

    University of Augsburg, Germany

    5 publications · 195 citations

    5

    h-index

  4. FH
    Fredrik Hellman

    Uppsala University, Sweden

    3 publications · 49 citations

    3

    h-index

  5. DL
    Donald L. Brown

    King Abdullah University of Science and Technology, Saudi Arabia

    2 publications · 33 citations

    2

    h-index

1–5 of 65

Institutions

46

  1. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    5 h-index

    5 publications

    248 citations

  2. Chalmers University of Technology

    Gothenburg, Sweden

    4 h-index

    5 publications

    214 citations

  3. University of Bonn

    Bonn, Germany

    3 h-index

    4 publications

    190 citations

  4. University of Gothenburg

    Gothenburg, Sweden

    3 h-index

    4 publications

    200 citations

  5. University of Münster

    Münster, Germany

    3 h-index

    5 publications

    127 citations

  6. KTH Royal Institute of Technology

    Stockholm, Sweden

    2 h-index

    2 publications

    68 citations

  7. Uppsala University

    Uppsala, Sweden

    2 h-index

    3 publications

    186 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    3 publications

    74 citations

1–8 of 46

Venues

  1. Multiscale Modeling and Simulation

    MMS · 3 publications · 57 citations

    3

    h-index

  2. SIAM Journal on Scientific Computing

    3 publications · 122 citations

    3

    h-index

  3. SIAM Journal on Numerical Analysis

    2 publications · 100 citations

    2

    h-index

  4. 2

    h-index

  5. 2

    h-index

1–5