112 citations · 154 across the 7 of their papers we have counts for
4 papers · 1 filter
Isogeometric Analysis for Surface PDEs with Extended Loop Subdivision
Qing Pan, Timon Rabczuk, Gang Xu +1
We investigate the isogeometric analysis for surface PDEs based on the extended Loop subdivision approach. The basis functions consisting of quartic box-splines corresponding to ea…
Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super- geometric analysis to Geometry Independent Field approximaTion (GIFT)
Elena Atroshchenko, Gang Xu, Satyendra Tomar +1
This paper presents an approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for appro…
An improved isogeometric analysis method for trimmed geometries
Jinlan Xu, Ningning Sun, Laixin Shu +2
Trimming techniques are efficient ways to generate complex geometries in Computer-Aided Design(CAD). In this paper, an improved isogeometric analysis(IGA) method for trimmed geomet…
Isogeometric computation reuse method for complex objects with topology-consistent volumetric parameterization
Gang Xu, Tsz-Ho Kwok, Charlie C. L. Wang
Volumetric spline parameterization and computational efficiency are two main challenges in isogeometric analysis (IGA). To tackle this problem, we propose a framework of computatio…