3 papers
cs.CG2026
Topology Understanding of B-Spline Surface/Surface Intersection with Mapper
Chenming Gao, Hongwei Lin, Gengchen Li
In the realm of computer-aided design (CAD) software, the intersection of B-spline surfaces stands as a fundamental operation. Despite the extensive history of surface intersection…
math.OC2026
Persistent homology-based explicit topological control for 2D topology optimization with MMA
Gengchen Li, Depeng Gao, Wenliang Yin +1
Controlling structural complexity, particularly the number of holes, remains a fundamental challenge in topology optimization, with significant implications for both theoretical an…
math.NA2025
Collocation and Mass Matrix in Least-squares Isogeometric Analysis
Gengchen Li, Hongwei Lin
In this paper, we conduct a systematic numerical analysis of the spectral properties of the collocation and mass matrices in the isogeometric least-squares collocation method (IGA-…