Concepedia

Rational Shape Functions

Rational Shape Functions is a type of shape function in computational mechanics that employs rational polynomials—ratios of polynomial functions—to achieve enhanced approximation properties, particularly in modeling curved geometries and ensuring inter-element continuity, distinguishing it from standard polynomial-based shape functions by its ability to exactly represent conic sections and improve accuracy in finite element analysis.

44

Publications

1.7K

Citations

116

Authors

64

Institutions

Publications per year

2017–2026

10

Parents

Publications

44

Generalized Gaussian quadrature rules on arbitrary polygons

Hanguang Xiao, N. Sukumar · International Journal for Numerical Methods in Engineering · 2009 · 183 citations

, , +14

A shape optimization approach based on natural design variables and shape functions

Ashok D. Belegundu, Subramaniam Rajan · Computer Methods in Applied Mechanics and Engineering · 1988 · 171 citations

, , +13

Explicit form and efficient computation of MLS shape functions and their derivatives

Piotr Breitkopf, Alain Rassineux, Gilbert Touzot et al. · International Journal for Numerical Methods in Engineering · 2000 · 87 citations

, , +7

An efficient numerical method to calculate shape truncation functions for Wigner-Seitz atomic polyhedra

N. Stéfanou, H. Akai, R. Zeller · Computer Physics Communications · 1990 · 85 citations

, , +8

Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons

N. Sukumar · Computer Methods in Applied Mechanics and Engineering · 2013 · 78 citations

, , +13

1–5 of 44

Authors

116

  1. SI
    Seyoung Im

    Korea Advanced Institute of Science and Technology, South Korea

    2 publications · 52 citations

    2

    h-index

  2. PB
    Piotr Breitkopf

    Université de Technologie de Compiègne, France

    2 publications · 101 citations

    2

    h-index

  3. AR
    Alain Rassineux

    Université de Technologie de Compiègne, France

    2 publications · 101 citations

    2

    h-index

  4. NS
    N. Sukumar

    University of California, Davis, United States

    2 publications · 261 citations

    2

    h-index

  5. LP
    L. Piegl

    Technische Universität Braunschweig, Germany

    2 publications · 87 citations

    2

    h-index

1–5 of 116

Institutions

64

  1. Technische Universität Braunschweig

    Braunschweig, Germany

    2 h-index

    2 publications

    87 citations

  2. Banaras Hindu University

    Varanasi, India

    2 h-index

    5 publications

    85 citations

  3. University of the Punjab

    Lahore, Pakistan

    2 h-index

    3 publications

    72 citations

  4. Korea Advanced Institute of Science and Technology

    Daejeon, South Korea

    2 h-index

    4 publications

    104 citations

  5. University of California, Davis

    Davis, United States

    2 h-index

    3 publications

    444 citations

  6. Syracuse University

    Syracuse, United States

    1 h-index

    1 publications

    55 citations

  7. Konkuk University

    Seoul, South Korea

    1 h-index

    3 publications

    72 citations

  8. University of Maryland, College Park

    College Park, United States

    1 h-index

    1 publications

    55 citations

1–8 of 64

Venues

  1. 7

    h-index

  2. 4

    h-index

  3. Annals of Physics

    2 publications · 32 citations

    2

    h-index

  4. Computers & Structures

    2 publications · 45 citations

    2

    h-index

  5. International Journal of Digital Earth

    1 publications · 21 citations

    1

    h-index

1–5