Concepedia

Hierarchical Multiscale Methods

Hierarchical Multiscale Methods is a computational modeling framework that systematically decomposes a physical system into distinct, sequentially coupled scales—where each scale is governed by its own set of equations and solution methods—such that information is passed unidirectionally from finer to coarser scales through precomputed effective properties or responses, distinguishing it from concurrent or fully integrated multiscale approaches.

737

Publications

40.6K

Citations

1.9K

Authors

755

Institutions

Publications per year

2017–2026

210

Parents

Children

Publications

737

The variational multiscale method—a paradigm for computational mechanics

Thomas J.R. Hughes, Gonzalo R. Feijóo, Luca Mazzei et al. · Computer Methods in Applied Mechanics and Engineering · 1998 · 1.6K citations · Full text

, , +14

Multi-scale computational homogenization: Trends and challenges

M.G.D. Geers, V.G. Kouznetsova, W.A.M. Brekelmans · Journal of Computational and Applied Mathematics · 2009 · 1K citations · Full text

, , +11

The multiscale coarse-graining method. I. A rigorous bridge between atomistic and coarse-grained models

W. G. Noid, Jhih‐Wei Chu, Gary S. Ayton et al. · The Journal of Chemical Physics · 2008 · 878 citations · Full text

, , +17

Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis

C. W. Gear, James M. Hyman, Panagiotis G Kevrekidid et al. · Communications in Mathematical Sciences · 2003 · 798 citations · Full text

, , +15

Large Eddy Simulation and the variational multiscale method

Thomas J.R. Hughes, Luca Mazzei, Kenneth E. Jansen · Computing and Visualization in Science · 2000 · 702 citations

, , +12

1–5 of 737

Authors

1.9K

  1. YE
    Yalchin Efendiev

    Texas A&M University, United States

    14 publications · 740 citations

    14

    h-index

  2. WK
    Wing Kam Liu

    Northwestern University, United States

    9 publications · 873 citations

    9

    h-index

  3. GA
    Gregory A. Voth

    University of Chicago, United States

    8 publications · 1.6K citations

    8

    h-index

  4. AS
    Alan S. Willsky

    Massachusetts Institute of Technology, United States

    8 publications · 780 citations

    8

    h-index

  5. ET
    Eric T. Chung

    Chinese University of Hong Kong, Hong Kong SAR China

    8 publications · 270 citations

    8

    h-index

1–5 of 1.9K

Institutions

755

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    50 publications

    2.8K citations

  2. Texas A&M University

    College Station, United States

    17 h-index

    38 publications

    1.8K citations

  3. Stanford University

    Stanford, United States

    16 h-index

    41 publications

    12.6K citations

  4. Princeton University

    Princeton, United States

    14 h-index

    19 publications

    4.3K citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    29 publications

    1.9K citations

  6. The University of Texas at Austin

    Austin, United States

    13 h-index

    17 publications

    1.2K citations

  7. Rensselaer Polytechnic Institute

    Troy, United States

    11 h-index

    20 publications

    1.9K citations

  8. Northwestern University

    Evanston, United States

    11 h-index

    39 publications

    3.2K citations

1–8 of 755

Venues

  1. Journal of Computational Physics

    52 publications · 3K citations

    30

    h-index

  2. 30

    h-index

  3. Chemical Engineering Science

    14 publications · 931 citations

    15

    h-index

  4. Multiscale Modeling and Simulation

    MMS · 15 publications · 741 citations

    14

    h-index

  5. 13

    h-index

1–5