报告人：孔德松（宁波东方理工大学）

报告时间：2026年4月10日（星期五）10:30-12:00

报告地点：科技楼南楼702室

报告摘要：We develop an efficient spectral method for partial differential equations posed in solid torus pipe geometries, formulated in orthogonal toroidal-poloidal coordinates. Starting from the weak formulation of the underlying elliptic problems, we identify and analyze the pole conditions induced by coordinate singularities, and construct a spectral-Galerkin scheme whose basis functions intrinsically satisfy these conditions. The proposed framework is further extended to eigenvalue problems and to the incompressible Navier–Stokes equations via a scalar auxiliary variable (SAV) formulation combined with BDF-$k$ time discretization. Extensive numerical experiments demonstrate the efficiency, spectral accuracy, and robustness of the method for a range of problems in solid torus geometries.

报告人简介：孔德松，宁波东方理工大学助理教授，2023年博士毕业于中南大学，2023-2025年宁波市东方理工高等研究院博士后。主要从事奇异函数逼近理论，复杂区域上的高效、高精度算法及其应用等问题的研究。在Math. Comp.、J. Sci. Comput.、Adv. Comput. Math.等期刊发表论文十余篇。主持重点项目子课题、博士后面上基金等项目。

邀请人：王海永