Concepedia

Higher-order Shape Functions

Higher-Order Shape Functions is a mathematical construct in computational mechanics that, as an extension of low-order counterparts, employs polynomial basis functions of degree two or higher to more accurately approximate field variables over finite elements by capturing nonlinear behavior within the element domain.

67

Publications

5.4K

Citations

185

Authors

110

Institutions

Publications per year

2017–2026

10

Parents

Publications

67

Contemporary particle-in-cell approach to laser-plasma modelling

T. D. Arber, Keith Bennett, C. S. Brady et al. · Plasma Physics and Controlled Fusion · 2015 · 1.6K citations · Full text

, , +15

Organoids by design

Takanori Takebe, James M. Wells · Science · 2019 · 400 citations · Full text

, , +17

Bistable plates for morphing structures: A refined analytical approach with high-order polynomials

Alberto Pirrera, Daniele Avitabile, Paul M. Weaver · International Journal of Solids and Structures · 2010 · 221 citations

, , +9

High order Nédélec elements with local complete sequence properties

Joachim Schöberl, Sabine Zaglmayr · COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering · 2005 · 168 citations

, , +14

Mesh independent modelling of cracks by using higher order shape functions

E.V. Iarve · International Journal for Numerical Methods in Engineering · 2002 · 133 citations

, , +17

1–5 of 67

Authors

185

  1. SA
    Shahid Ahmad

    University at Buffalo, State University of New York, United States

    2 publications · 104 citations

    2

    h-index

  2. AR
    Alain Rassineux

    Université de Technologie de Compiègne, France

    2 publications · 101 citations

    2

    h-index

  3. PK
    P. K. Banerjee

    University at Buffalo, State University of New York, United States

    2 publications · 104 citations

    2

    h-index

  4. GT
    Gilbert Touzot

    Université de Technologie de Compiègne, France

    2 publications · 101 citations

    2

    h-index

  5. ER
    E. Rank

    Technical University of Munich, Germany

    2 publications · 112 citations

    2

    h-index

1–5 of 185

Institutions

110

  1. UNSW Sydney

    Sydney, Australia

    3 h-index

    5 publications

    182 citations

  2. University of California, Berkeley

    Berkeley, United States

    3 h-index

    5 publications

    174 citations

  3. Otto-von-Guericke-Universität Magdeburg

    Magdeburg, Germany

    3 h-index

    9 publications

    231 citations

  4. Technical University of Munich

    Munich, Germany

    3 h-index

    10 publications

    610 citations

  5. Rensselaer Polytechnic Institute

    Troy, United States

    2 h-index

    4 publications

    221 citations

  6. Politecnico di Torino

    Turin, Italy

    2 h-index

    4 publications

    228 citations

  7. Marymount University

    Arlington, United States

    2 h-index

    4 publications

    208 citations

  8. University of Helsinki

    Helsinki, Finland

    2 h-index

    2 publications

    155 citations

1–8 of 110

Venues

  1. 12

    h-index

  2. IEEE Transactions on Magnetics

    3 publications · 76 citations

    3

    h-index

  3. The Journal of the Acoustical Society of America

    JASA · 3 publications · 79 citations

    3

    h-index

  4. STRUCTURAL ENGINEERING AND MECHANICS

    2 publications · 27 citations

    2

    h-index

  5. 2

    h-index

1–5