Concepedia

Multiscale Basis Functions

Multiscale Basis Functions is a mathematical construct in numerical analysis defined as a set of localized basis functions that span a coarse-scale solution space while incorporating fine-scale information through solutions of local boundary value problems, thereby enabling accurate approximation of heterogeneous multiscale problems within the framework of finite element methods.

334

Publications

19.5K

Citations

577

Authors

296

Institutions

Publications per year

2017–2026

81

Parents

Publications

334

A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media

Thomas Y. Hou, Xiaohui Wu · Journal of Computational Physics · 1997 · 1.9K citations

, , +17

The steerable pyramid: a flexible architecture for multi-scale derivative computation

Eero P. Simoncelli, William T. Freeman · Proceedings - International Conference on Image Processing · 2002 · 1.1K citations

, , +13

Sparse grids

Hans‐Joachim Bungartz, Michael Griebel · Acta Numerica · 2004 · 1K citations

, , +14

Generalized multiscale finite element methods (GMsFEM)

Yalchin Efendiev, Juan Galvis, Thomas Y. Hou · Journal of Computational Physics · 2013 · 700 citations · Full text

, , +11

Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

Thomas Y. Hou, Xiaohui Wu, Zhiqiang Cai · Mathematics of Computation · 1999 · 584 citations · Full text

, , +16

1–5 of 334

Authors

577

  1. YE
    Yalchin Efendiev

    Texas A&M University, United States

    46 publications · 3.5K citations

    26

    h-index

  2. ET
    Eric T. Chung

    Chinese University of Hong Kong, Hong Kong SAR China

    30 publications · 1.3K citations

    17

    h-index

  3. KL
    Knut‐Andreas Lie

    SINTEF, Norway

    18 publications · 864 citations

    15

    h-index

  4. WT
    Wing Tat Leung

    Texas A&M University, United States

    12 publications · 392 citations

    11

    h-index

  5. FV
    Frédéric Valentin

    Laboratório Nacional de Computação Científica, Brazil

    11 publications · 504 citations

    11

    h-index

1–5 of 577

Institutions

296

  1. Texas A&M University

    College Station, United States

    26 h-index

    85 publications

    5.5K citations

  2. SINTEF

    Trondheim, Norway

    16 h-index

    45 publications

    1.7K citations

  3. Chinese University of Hong Kong

    Hong Kong, Hong Kong

    15 h-index

    30 publications

    1.2K citations

  4. California Institute of Technology

    Pasadena, United States

    15 h-index

    24 publications

    8K citations

  5. King Abdullah University of Science and Technology

    Jeddah, Saudi Arabia

    12 h-index

    16 publications

    1.5K citations

  6. North-Eastern Federal University

    Yakutsk, Russia

    12 h-index

    23 publications

    477 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    28 publications

    2K citations

  8. The University of Texas at Austin

    Austin, United States

    11 h-index

    17 publications

    1.3K citations

1–8 of 296

Venues

  1. Journal of Computational Physics

    33 publications · 4.6K citations

    24

    h-index

  2. 19

    h-index

  3. Multiscale Modeling and Simulation

    MMS · 25 publications · 1.6K citations

    18

    h-index

  4. Journal of Computational and Applied Mathematics

    10 publications · 243 citations

    10

    h-index

  5. SIAM Journal on Numerical Analysis

    10 publications · 789 citations

    10

    h-index

1–5