Jingwen Ren1, Hongwei Lin1,2,*
CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 2957-2984, 2023, DOI:10.32604/cmes.2023.025983
- 09 March 2023
Abstract Isogeometric analysis (IGA) is introduced to establish the direct link between computer-aided design and analysis.
It is commonly implemented by Galerkin formulations (isogeometric Galerkin, IGA-G) through the use of
nonuniform rational B-splines (NURBS) basis functions for geometric design and analysis. Another promising
approach, isogeometric collocation (IGA-C), working directly with the strong form of the partial differential
equation (PDE) over the physical domain defined by NURBS geometry, calculates the derivatives of the numerical
solution at the chosen collocation points. In a typical IGA, the knot vector of the NURBS numerical solution is only
determined by the… More >
Graphic Abstract