Concepedia

Radial Basis Function Shape Functions

Radial Basis Function Shape Functions is a type of shape function that employs radial basis functions to interpolate or approximate field variables over a domain, distinguished by its reliance on distance-based basis functions centered at scattered nodes rather than polynomial expansions defined over elemental topologies.

517

Publications

29K

Citations

1K

Authors

485

Institutions

Publications per year

2017–2026

128

Variants

Rbf Shape Functions

Parents

Publications

517

A point interpolation meshless method based on radial basis functions

Jianguo Wang, G. R. Liu · International Journal for Numerical Methods in Engineering · 2002 · 1K citations

, , +16

Mesh deformation based on radial basis function interpolation

A. de Boer, M. S. van der Schoot, H. Bijl · Computers & Structures · 2007 · 768 citations

, , +13

On choosing “optimal” shape parameters for RBF approximation

Gregory E. Fasshauer, Jack G. Zhang · Numerical Algorithms · 2007 · 605 citations

, , +9

On the optimal shape parameters of radial basis functions used for 2-D meshless methods

Jianguo Wang, G.R. Liu · Computer Methods in Applied Mechanics and Engineering · 2002 · 539 citations

, , +12

Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations

E.J. Kansa, Y.C. Hon · Computers & Mathematics with Applications · 2000 · 448 citations

, , +8

1–5 of 517

Authors

1K

  1. MD
    Mehdi Dehghan

    Amirkabir University of Technology, Iran

    23 publications · 2.2K citations

    23

    h-index

  2. AF
    A.J.M. Ferreira

    Universidade do Porto, Portugal

    12 publications · 831 citations

    12

    h-index

  3. CR
    C.M.C. Roque

    Universidade do Porto, Portugal

    11 publications · 746 citations

    11

    h-index

  4. BF
    Bengt Fornberg

    University of Colorado Boulder, United States

    11 publications · 1.7K citations

    10

    h-index

  5. ES
    Elyas Shivanian

    Imam Khomeini International University, Iran

    9 publications · 290 citations

    9

    h-index

1–5 of 1K

Institutions

485

  1. Amirkabir University of Technology

    Tehran, Iran

    24 h-index

    39 publications

    3.9K citations

  2. Imam Khomeini International University

    Qazvin, Iran

    16 h-index

    30 publications

    999 citations

  3. Universidade do Porto

    Porto, Portugal

    12 h-index

    34 publications

    2.4K citations

  4. Uppsala University

    Uppsala, Sweden

    11 h-index

    18 publications

    1.6K citations

  5. National University of Singapore

    Singapore, Singapore

    10 h-index

    24 publications

    4.4K citations

  6. University of Colorado Boulder

    Boulder, United States

    10 h-index

    13 publications

    1.9K citations

  7. Iran University of Science and Technology

    Tehran, Iran

    10 h-index

    21 publications

    571 citations

  8. UNSW Sydney

    Sydney, Australia

    9 h-index

    15 publications

    525 citations

1–8 of 485

Venues

  1. Engineering Analysis with Boundary Elements

    65 publications · 2.9K citations

    32

    h-index

  2. Computers & Mathematics with Applications

    34 publications · 2.9K citations

    24

    h-index

  3. Journal of Computational and Applied Mathematics

    18 publications · 1.3K citations

    17

    h-index

  4. Journal of Computational Physics

    17 publications · 1K citations

    16

    h-index

  5. Applied Mathematics and Computation

    21 publications · 898 citations

    14

    h-index

1–5