14 citations · 16 across the 3 of their papers we have counts for
5 papers
A Domain-specific adaptation network for elliptic interface problems
Jiaqi Luo, Hongmei Kang, Xingye Yue +1
Deep learning provides a flexible mesh-free framework for solving elliptic interface problems. However, domain-specific neural approaches often rely on separate networks for indivi…
Polynomial preserving recovery for PHT-splines
Ying Cai, Falai Chen, Hailong Guo +2
We propose a polynomial preserving recovery method for PHT-splines within isogeometric analysis to obtain more accurate gradient approximations. The method fully exploits the local…
Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines
Zepeng Wen, Qiong Pan, Xiaoya Zhai +2
This paper proposes an Adaptive Isogeometric Topology Optimization framework for shell structures based on PHT-splines (PHT-AITO). In this framework, the design domain, displacemen…
A Deep Neural Network for Knot Placement in B-spline Approximation
Jiaqi Luo, Zepeng Wen, Hongmei Kang +1
Automatically determining knot number and positions is a fundamental and challenging problem in B-spline approximation. In this paper, the knot placement is abstracted as a mapping…
Numerical integration over implicitly defined domains with topological guarantee
Tianhui Yang, Ammar Qarariyah, Hongmei Kang +1
Numerical integration over the implicitly defined domains is challenging due to topological variances of implicit functions. In this paper, we use interval arithmetic to identify t…