Concepedia

Nonconforming Finite Elements

Nonconforming Finite Elements is a type of finite element discretization method in which the element shape functions do not necessarily belong to the Sobolev space of global continuity required for the weak formulation, thereby violating inter-element conformity while still approximating solutions to partial differential equations.

511

Publications

25.3K

Citations

749

Authors

369

Institutions

Publications per year

2017–2026

73

Variants

Nonconforming Finite Element Methods

Parents

Publications

511

Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

John G. Heywood, Rolf Rannacher · SIAM Journal on Numerical Analysis · 1982 · 851 citations

, , +15

Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates

Douglas N. Arnold, Franco Brezzi · ESAIM Mathematical Modelling and Numerical Analysis · 1985 · 836 citations · Full text

, , +15

A New Nonconforming Approach to Domain Decomposition : The Mortar Element Method

Christine Bernardi · Medical Entomology and Zoology · 1994 · 625 citations

, , +10

Poincaré--Friedrichs Inequalities for Piecewise <i>H</i><sup>1</sup> Functions

Susanne C. Brenner · SIAM Journal on Numerical Analysis · 2003 · 505 citations

, , +12

Comparative study on finite elements with embedded discontinuities

Milan Jirásek · Computer Methods in Applied Mechanics and Engineering · 2000 · 421 citations

, , +16

1–5 of 511

Authors

749

  1. DS
    Dongyang Shi

    Zhengzhou University, China

    32 publications · 913 citations

    19

    h-index

  2. CC
    Carsten Carstensen

    Humboldt-Universität zu Berlin, Germany

    20 publications · 1K citations

    15

    h-index

  3. SC
    Susanne C. Brenner

    Louisiana State University, United States

    16 publications · 1.6K citations

    15

    h-index

  4. JH
    Jun Hu

    University of Electronic Science and Technology of China, China

    13 publications · 409 citations

    12

    h-index

  5. ZS
    Zhong‐Ci Shi

    Chinese Academy of Sciences, China

    11 publications · 384 citations

    11

    h-index

1–5 of 749

Institutions

369

  1. Zhengzhou University

    Zhengzhou, China

    22 h-index

    76 publications

    2.5K citations

  2. Chinese Academy of Sciences

    Beijing, China

    16 h-index

    34 publications

    770 citations

  3. Academy of Mathematics and Systems Science

    Beijing, China

    16 h-index

    31 publications

    788 citations

  4. Peking University

    Beijing, China

    15 h-index

    30 publications

    992 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    23 publications

    991 citations

  6. Humboldt-Universität zu Berlin

    Berlin, Germany

    12 h-index

    19 publications

    813 citations

  7. Texas A&M University

    College Station, United States

    11 h-index

    14 publications

    482 citations

  8. Seoul National University

    Seoul, South Korea

    10 h-index

    18 publications

    669 citations

1–8 of 369

Venues

  1. SIAM Journal on Numerical Analysis

    59 publications · 4.7K citations

    33

    h-index

  2. Mathematics of Computation

    MCOM · 49 publications · 3.3K citations

    31

    h-index

  3. 26

    h-index

  4. Numerische Mathematik

    25 publications · 1.2K citations

    19

    h-index

  5. 15

    h-index

1–5