Concepedia

Galerkin Approximation

Galerkin Approximation is a numerical method in the broader class of projection methods for solving differential equations, distinguished by its use of weighted residuals orthogonal to a finite-dimensional subspace of the solution space to approximate weak solutions.

3.2K

Publications

156.9K

Citations

5.2K

Authors

1.6K

Institutions

Publications per year

2017–2026

654

Variants

Galerkin Method

Parents

Publications

3.2K

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework

Bernardo Cockburn, Chi‐Wang Shu · Mathematics of Computation · 1989 · 1.9K citations · Full text

, , +17

A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations

Thomas J.R. Hughes, Leopoldo P. Franca, Gregory M. Hulbert · Computer Methods in Applied Mechanics and Engineering · 1989 · 1.4K citations

, , +14

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Ivo Babuška, Fabio Nobile, Raúl Tempone · SIAM Journal on Numerical Analysis · 2007 · 1.4K citations · Full text

, , +16

A stabilized conforming nodal integration for Galerkin mesh-free methods

Jiun‐Shyan Chen, C.T. Wu, Sangpil Yoon et al. · International Journal for Numerical Methods in Engineering · 2000 · 1.3K citations

, , +15

Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization

John G. Heywood, Rolf Rannacher · SIAM Journal on Numerical Analysis · 1990 · 961 citations

, , +17

1–5 of 3.2K

Authors

5.2K

  1. CS
    Chi‐Wang Shu

    Brown University, United States

    51 publications · 5.4K citations

    36

    h-index

  2. YC
    Yumin Cheng

    Shanghai University, China

    25 publications · 1.6K citations

    24

    h-index

  3. MD
    Mehdi Dehghan

    Amirkabir University of Technology, Iran

    23 publications · 1K citations

    21

    h-index

  4. XL
    Xiaolin Li

    Chongqing Normal University, China

    20 publications · 1K citations

    19

    h-index

  5. BC
    Bernardo Cockburn

    University of Minnesota, United States

    19 publications · 4K citations

    18

    h-index

1–5 of 5.2K

Institutions

1.6K

  1. Brown University

    Providence, United States

    42 h-index

    96 publications

    8K citations

  2. The University of Texas at Austin

    Austin, United States

    33 h-index

    111 publications

    9.7K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    29 h-index

    117 publications

    5.3K citations

  4. Shanghai University

    Shanghai, China

    26 h-index

    79 publications

    4.3K citations

  5. Cornell University

    Ithaca, United States

    24 h-index

    62 publications

    5.1K citations

  6. Amirkabir University of Technology

    Tehran, Iran

    23 h-index

    55 publications

    2.3K citations

  7. ETH Zurich

    Zurich, Switzerland

    22 h-index

    40 publications

    2.2K citations

  8. Virginia Tech

    Blacksburg, United States

    22 h-index

    53 publications

    5.3K citations

1–8 of 1.6K

Venues

  1. SIAM Journal on Numerical Analysis

    192 publications · 18.2K citations

    66

    h-index

  2. Journal of Computational Physics

    178 publications · 10.3K citations

    56

    h-index

  3. 51

    h-index

  4. Mathematics of Computation

    MCOM · 118 publications · 9.7K citations

    50

    h-index

  5. 41

    h-index

1–5