Concepedia

Weak Form Discretization

Weak Form Discretization is a numerical method in computational mechanics that discretizes partial differential equations by transforming them into an integral form over a domain and enforcing equilibrium through weighted residuals, distinguishing it from strong-form approaches by relaxing continuity requirements and enabling the use of piecewise smooth basis functions.

538

Publications

40.8K

Citations

1.1K

Authors

565

Institutions

Publications per year

2017–2026

142

Parents

Publications

538

Element‐free Galerkin methods

Ted Belytschko, Ye Lu, Linxia Gu · International Journal for Numerical Methods in Engineering · 1994 · 5.6K citations

, , +15

New development in freefem++

Frédéric Hecht · Journal of Numerical Mathematics · 2012 · 3.3K citations · Full text

, , +17

Weak solutions of nonlinear hyperbolic equations and their numerical computation

Peter D. Lax · Communications on Pure and Applied Mathematics · 1954 · 1.8K citations

, , +16

Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

Gianluigi Rozza, D.B.P. Huynh, A.T. Patera · Archives of Computational Methods in Engineering · 2008 · 1.1K citations · Full text

, , +16

A finite element method for the simulation of strong and weak discontinuities in solid mechanics

Anita Hansbo, Peter Hansbo · Computer Methods in Applied Mechanics and Engineering · 2004 · 805 citations

, , +14

1–5 of 538

Authors

1.1K

  1. YC
    Yumin Cheng

    Shanghai University, China

    23 publications · 1.3K citations

    22

    h-index

  2. TB
    Ted Belytschko

    Northwestern University, United States

    10 publications · 7.1K citations

    10

    h-index

  3. XY
    Xiu Ye

    University of Arkansas at Little Rock, United States

    8 publications · 805 citations

    8

    h-index

  4. LM
    Lin Mu

    University of Arkansas at Little Rock, United States

    8 publications · 801 citations

    8

    h-index

  5. MP
    Miaojuan Peng

    Shanghai University, China

    8 publications · 402 citations

    8

    h-index

1–5 of 1.1K

Institutions

565

  1. Shanghai University

    Shanghai, China

    21 h-index

    58 publications

    3.3K citations

  2. Northwestern University

    Evanston, United States

    16 h-index

    37 publications

    21.2K citations

  3. National University of Singapore

    Singapore, Singapore

    14 h-index

    21 publications

    3.7K citations

  4. Singapore-MIT Alliance for Research and Technology

    Singapore, Singapore

    11 h-index

    16 publications

    2.7K citations

  5. University of Minnesota

    Minneapolis, United States

    10 h-index

    16 publications

    871 citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    10 h-index

    18 publications

    3.7K citations

  7. Hunan University

    Changsha, China

    9 h-index

    24 publications

    1.5K citations

  8. U.S. National Science Foundation

    Alexandria, United States

    9 h-index

    9 publications

    809 citations

1–8 of 565

Venues

  1. 44

    h-index

  2. Journal of Computational Physics

    34 publications · 2.9K citations

    26

    h-index

  3. 22

    h-index

  4. Journal of Computational and Applied Mathematics

    23 publications · 790 citations

    17

    h-index

  5. Journal of Scientific Computing

    23 publications · 1.2K citations

    16

    h-index

1–5