Concepedia

Stabilized Formulations

Stabilized Formulations is a class of numerical methods within the weak formulation framework that modifies the standard variational form by introducing additional terms to enhance numerical stability without compromising consistency, particularly in cases where the standard Galerkin formulation suffers from instabilities due to incompatible discretizations or dominant convection and reaction terms.

359

Publications

22.3K

Citations

788

Authors

406

Institutions

Publications per year

2017–2026

84

Parents

Publications

359

Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1995 · 1.8K citations · Full text

, , +13

A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method

Kenneth E. Jansen, Christian H. Whiting, Gregory M. Hulbert · Computer Methods in Applied Mechanics and Engineering · 2000 · 802 citations

, , +10

Stabilized finite element methods: II. The incompressible Navier-Stokes equations

Leopoldo P. Franca, Sérgio Frey · Computer Methods in Applied Mechanics and Engineering · 1992 · 759 citations

, , +12

Computation of moving boundaries and interfaces and stabilization parameters

Tayfun E. Tezduyar · International Journal for Numerical Methods in Fluids · 2003 · 449 citations

, , +14

Stabilized finite element approximation of transient incompressible flows using orthogonal subscales

Ramón Codina · Computer Methods in Applied Mechanics and Engineering · 2002 · 436 citations · Full text

, , +13

1–5 of 359

Authors

788

  1. RC
    Ramon Codina

    Universitat Politècnica de Catalunya, Spain

    21 publications · 1.9K citations

    19

    h-index

  2. TE
    Tayfun E. Tezduyar

    Rice University, United States

    15 publications · 1.7K citations

    13

    h-index

  3. EB
    Erik Burman

    University College London, United Kingdom

    12 publications · 881 citations

    11

    h-index

  4. AM
    Arif Masud

    University of Illinois Urbana-Champaign, United States

    11 publications · 555 citations

    11

    h-index

  5. EO
    Eugenio Oñate

    Universitat Politècnica de Catalunya, Spain

    9 publications · 875 citations

    9

    h-index

1–5 of 788

Institutions

406

  1. Universitat Politècnica de Catalunya

    Barcelona, Spain

    25 h-index

    76 publications

    7K citations

  2. International Center for Numerical Methods in Engineering

    Barcelona, Spain

    15 h-index

    34 publications

    3.4K citations

  3. Xi'an Jiaotong University

    Xi'an, China

    13 h-index

    28 publications

    1.3K citations

  4. Rice University

    Houston, United States

    12 h-index

    18 publications

    1.5K citations

  5. University of Illinois Urbana-Champaign

    Urbana, United States

    9 h-index

    18 publications

    631 citations

  6. University of Göttingen

    Göttingen, Germany

    8 h-index

    14 publications

    1K citations

  7. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    8 h-index

    9 publications

    749 citations

  8. Swansea University

    Swansea, United Kingdom

    7 h-index

    15 publications

    990 citations

1–8 of 406

Venues

  1. 39

    h-index

  2. 18

    h-index

  3. 17

    h-index

  4. SIAM Journal on Numerical Analysis

    14 publications · 1.1K citations

    13

    h-index

  5. Mathematics of Computation

    MCOM · 12 publications · 1K citations

    12

    h-index

1–5