报告题目：From Geometric Design to Numerical Analysis: Isogeometric CAD-CAE Integration with DTATools

报 告 人：Ye Ji /纪野（Delft University of Technology）

报告时间：2026年10月19日（星期一）16:00—17:00

报告地点：数学科学学院115（大报告厅）      

校内联系人：朱春钢 教授         联系方式：84708351-8618

报告摘要：Integrating computer-aided design (CAD) with computer-aided engineering (CAE) requires bridging geometric modelling and numerical analysis. While CAD models describe geometric shape, numerical simulation imposes additional requirements on parameterization, geometric regularity, and approximation spaces. Transforming design geometry into an analysis-suitable representation therefore remains a central challenge.

Isogeometric analysis (IGA) connects geometric representation and solution approximation through spline-based constructions, providing a mathematical foundation for CAD–CAE integration. However, the use of common spline representations does not by itself guarantee a direct transition from design to analysis. The suitability of the geometric parameterization and its compatibility with the numerical discretization must also be addressed.

This talk presents our work on DTATools (Design-Through-Analysis Tools), focusing on the methods underlying an isogeometric design-to-analysis workflow. We discuss the differing requirements of geometric modelling and numerical simulation, the transition from CAD geometry to analysis-suitable models, and the implementation of these methods within DTATools. Relevant examples illustrate the computational workflow. Particular attention is given to the interplay between spline geometry, parameterization, and numerical approximation, alongside current limitations and open mathematical challenges.

报告人简介：Dr. Ye Ji is a postdoctoral researcher in the Numerical Analysis group at Delft University of Technology. His research focuses on isogeometric analysis, computer-aided geometric design, analysis-suitable parameterization, mesh generation, and efficient numerical methods. He develops methods and software that connect CAD geometry with numerical simulation, with applications to real-world challenges.

His research has been published in journals including CMAME, CAD, and CAGD. His research has received recognition through Best Paper Awards including CSIAM GDC 2025 and 2026, ICSM 2024, and GMP 2023. He is a lead developer of SplineMesh and DTATools, a co-developer of the open-source isogeometric analysis library G+Smo, and a reviewer for Mathematical Reviews of the American Mathematical Society.