Colloquium Computer Science - Dr. Maodong Pan, Nanjing University

Title: Domain parameterization for isogeometric analysis

Abstract:

The advent of isogeometric analysis (IgA) has revolutionized the fields of computer- aided design (CAD) and finite element analysis (FEA). This approach not only improves the accuracy and efficiency of simulations but also facilitates the direct use of CAD models in numerical analysis. Although IgA possesses significant advantages over FEA, the construction of spline parameterizations for physical domains from their boundary representations – an essential step in IgA – remains a formidable challenge. This is particularly prominent for domains with complex geometries. In this talk, I shall introduce our progress on this problem, which includes planar parameterization with HB-splines (CAGD 2022), collocation-based volumetric parameterization (CMAME 2020), G1-smooth multi-patch planar parameterization (CMAME 2023) and volumetric multi-patch parameterizations (CMAME 2025). These are joint works with Falai Chen.

Bio:

Maodong Pan is an associate researcher at the School of Mathematics, Nanjing University of Aeronautics and Astronautics, China. He received his Ph.D. (2017) from University of Science and Technology of China. Between 2019 and 2020, he worked at Johannes Kepler University Linz with Bert Jüttler. His research interests include computational geometry and isogeometric analysis. His research has been supported by the National Key Research and Development Program of China and National Natural Science Foundation of China.