计算几何，计算机辅助几何设计，等几何分析

[1]  朱春钢, 李彩云,《数值逼近与计算几何》, 北京: 高等教育出版社, 2020. ISBN 978-7-04-054474-9, 42万字. Errata.pdf

[2]  王仁宏, 李崇君, 朱春钢, 《计算几何教程》, 科学计算及其软件教学丛书, 北京: 科学出版社, 2008. ISBN 978-7-03-021486-7, 45.6万字.  

全部论文(至2025.11)       

      全部论文-202512.pdf

代表性论文（2020年至今）

[1]  Ying-Chun Wang, Chun-Gang Zhu*, Geometric properties and algorithms of hybrid patch with B-spline boundaries, Journal of Computational Mathematics, doi:10.4208/jcm.2505-m2025-0028.

[2]  Lin Lan, Meng-Yun Wang, Jing-Jing Yang, Chun-Gang Zhu*, Total positivity and adaptive weighted least-squares progressive-iterative approximation of truncated hierarchical B-splines, Journal of Computational and Applied Mathematics,477 (2026) 117219.

[3]   Li Yang, Weiming Wang*, Ye Ji, Chun-Gang Zhu, Charlie C.L. Wang, Space–time isogeometric topology optimization with additive manufacturing constraints, Computer Methods in Applied Mechanics and Engineering, 441 (2025) 117976.

[4]  Jingjing Yang, Pei Zhou, Lin Lan, Chun-Gang Zhu*, A hybrid isogeometric collocation method on implicitly trimmed domains, Computer Methods in Applied Mechanics and Engineering, 438 (2025) 117812.

[5]  Ye Ji*, Matthias Möllera, Yingying Yu, Chungang Zhu, Boundary parameter matching for isogeometric analysis using Schwarz–Christoffel mapping, Engineering with Computers, 40 (2024) 3929–3947.

[6]  Meng-Yun Wang, Ye Ji, Lin Lan, Chun-Gang Zhu*, MS-GIFT: Multi-Sided Geometry-Independent Field approximaTion approach for isogeometric analysis, Computer-Aided Design, special issue on SPM 2024, 173 (2024) 103731.  

[7]  Jingjing Yang, Chun-Gang Zhu*, An adaptive collocation method on implicit domains using weighted extended THB splines, Computer Aided Geometric Design, special issue on GMP 2024, 111 (2024) 102297.

[8]  Yi Zhang, Ye Ji, Chun-Gang Zhu*, Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field, Computers and Mathematics with Applications, 162 (2024) 61–78.

[9]  Lin Lan, Ye Ji, Meng-Yun Wang, Chun-Gang Zhu*, Full-LSPIA: A least-squares progressive-iterative approximation method with optimization of weights and knots for NURBS curves and surfaces, Computer-Aided Design, 169 (2024) 103673.

[10]  Meng-Yun Wang, Ye Ji, Chun-Gang Zhu*, Degree elevation and knot insertion for generalized Bézier surfaces and their application to isogeometric analysis, Journal of Computational Mathematics, doi:10.4208/jcm.2301-m2022-0116.

[11]  Ying-Ying Yu, Ye Ji, Chun-Gang Zhu*, Sufficient condition for injectivity of NURBS volumes by tangent cones, Journal of Computational and Applied Mathematics, 432 (2023), 115303.

[12]  Ye Ji, Meng-Yun Wang, Jing-Gai Li, Chun-Gang Zhu*, Curvature-based r-adaptive isogeometric analysis with injectivity-preserving multi-sided domain parameterization, Journal of Systems Science & Complexity, special issue on CM 2021, 36(1) (2023): 53–76.

[13]  Pei Zhou, Chun-Gang Zhu*, Isogeometric collocation method based on residual parameterization of planar physical domain, Journal of Computational and Applied Mathematics, 422 (2023) 114889.

[14]  Ye Ji, Meng-Yun Wang, Yu Wang and Chun-Gang Zhu*, Curvature-based r-adaptive planar NURBS parameterization method for isogeometric analysis using multi-level approach, Computer-Aided Design, special issue on SPM 2022, 150 (2022), Article 103305.

[15]  Ye Ji, Meng-Yun Wang, Mao-Dong Pan, Yi Zhang and Chun-Gang Zhu*, Penalty function-based volumetric parameterization method for isogeometric analysis, Computer Aided Geometric Design, special issue on GMP 2022, 94(2022), Article 102081.

[16]  Ye Ji, Jing-Gai Li, Ying-Ying Yu, Chun-Gang Zhu*, h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis, Computer Aided Geometric Design, 93 (2022), Article 102065.

[17]  Ying-Ying Yu, Ye Ji, Jing-Gai Li, Chun-Gang Zhu*, Conditions for injectivity of toric volumes with arbitrary positive weights, Computers & Graphics, special issue on CAD/Graphics 2021 (Best Paper Award), 97 (2021), 88-98.

[18]  Ye Ji, Ying-Ying Yu, Meng-Yun Wang, Chun-Gang Zhu*, Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights, Journal of Computational and Applied Mathematics, 396 (2021), Article 113615.

[19]  Jing-Gai Li, Ye Ji, Chun-Gang Zhu*, De Casteljau algorithm and degree elevation of toric surface patches, Journal of System Sciences and Complexity, special issue on CM 2019, 34(1) (2021): 21–46.

[20]  Xuefeng Zhu, Ye Ji, Chungang Zhu*, Ping Hu, Zheng-Dong Ma, Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches, Computer Aided Geometric Design, special issue on Computational Geometric Design, 79 (2020), Article 101847.

[21]  Yan Wu, Chun-Gang Zhu*, Construction of triharmonic Bézier surfaces from boundary conditions, Journal of Computational and Applied Mathematics， 377 (2020), Article 112906.

[22]  Ying-Ying Yu, Ye Ji, Chun-Gang Zhu*, An improved algorithm for checking the injectivity of 2D toric surface patches, Computers and Mathematics with Applications, 79 (10) (2020), 2973-2986.