Concepedia

Hierarchical Shape Functions

Hierarchical Shape Functions is a type of shape function in computational mechanics that belongs to the class of finite element basis functions and is distinguished by its construction through a layered, nested sequence of polynomial basis functions enabling variable order approximation within an element.

45

Publications

4.4K

Citations

124

Authors

66

Institutions

Publications per year

2017–2026

8

Parents

Publications

45

rosetta : a computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions

Marcel G. Schaap, Feike J. Leij, Martinus Th. van Genuchten · Journal of Hydrology · 2001 · 2.7K citations

, , +14

Automatic choice of global shape functions in structural analysis

B. O. Almroth, P. Stern, F. A. Brogan · AIAA Journal · 1978 · 251 citations

, , +12

Efficient implementation of high‐order finite elements for Helmholtz problems

Hadrien Bériot, Albert G. Prinn, Gwénaël Gabard · International Journal for Numerical Methods in Engineering · 2015 · 105 citations · Full text

, , +16

Enhanced blending elements for XFEM applied to linear elastic fracture mechanics

J.E. Tarancón, Eugenio Giner, F.J. Fuenmayor · International Journal for Numerical Methods in Engineering · 2008 · 104 citations

, , +17

Use of higher‐order shape functions in the scaled boundary finite element method

Thu Hang Vu, Andrew Deeks · International Journal for Numerical Methods in Engineering · 2005 · 101 citations

, , +16

1–5 of 45

Authors

124

  1. AG
    Albert G. Prinn

    Fraunhofer Institute for Integrated Circuits, Germany

    2 publications · 122 citations

    2

    h-index

  2. SK
    Stefan Kollmannsberger

    Technical University of Munich, Germany

    2 publications · 107 citations

    2

    h-index

  3. HB
    Hadrien Bériot

    Siemens (Belgium), Belgium

    2 publications · 122 citations

    2

    h-index

  4. JX
    Jianguo Xin

    Beijing Institute of Technology, China

    2 publications · 20 citations

    2

    h-index

  5. EC
    Erasmo Carrera

    Politecnico di Torino, Italy

    2 publications · 85 citations

    2

    h-index

1–5 of 124

Institutions

66

  1. University of Abou Bekr Belkaïd

    Tlemcen, Algeria

    3 h-index

    5 publications

    111 citations

  2. Siemens (Belgium)

    Beersel, Belgium

    2 h-index

    3 publications

    139 citations

  3. Technical University of Munich

    Munich, Germany

    2 h-index

    10 publications

    535 citations

  4. Universidade Estadual de Campinas (UNICAMP)

    Campinas, Brazil

    2 h-index

    6 publications

    219 citations

  5. Clausthal University of Technology

    Clausthal-Zellerfeld, Germany

    2 h-index

    3 publications

    50 citations

  6. University of North Carolina at Charlotte

    Charlotte, United States

    2 h-index

    3 publications

    30 citations

  7. University of Southampton

    Southampton, United Kingdom

    2 h-index

    4 publications

    244 citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    3 publications

    56 citations

1–8 of 66

Venues

  1. 9

    h-index

  2. AIAA Journal

    2 publications · 268 citations

    2

    h-index

  3. Mechanics of Advanced Materials and Structures

    MAMS · 2 publications · 94 citations

    2

    h-index

  4. Journal of Engineering Mechanics

    2 publications · 21 citations

    2

    h-index

  5. Journal of Composite Materials

    JCM · 1 publications · 25 citations

    1

    h-index

1–5