14 citations · 16 across the 3 of their papers we have counts for
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math.NA2026
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…
math.NA2025
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…
math.NA2019★ 1 cited
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…