Finite element methods for surface PDEs
This course will provide a brief introduction to finite element methods for PDEs defined on surfaces, including parametric finite element methods, trace finite element methods, and the narrow band method. The focus will be on their numerical analysis, with applications to PDEs involving Laplace–Beltrami operators, fourth-order surface PDEs, and surface Stokes equations, among others.
讲师
日期
2026年03月19日 至 06月04日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周四 | 13:30 - 16:55 | A3-1a-205 | ZOOM 06 | 537 192 5549 | BIMSA |
修课要求
Basic knowledge about functional analysis, partial differential equations, differential geometry (of curves and surfaces), and finite element methods.
课程大纲
Week 1: Basics of differential geometry and finite element methods.
The plan will be updated throughout the semester as the course progresses.
The plan will be updated throughout the semester as the course progresses.
参考资料
1. Handbook of Numerical Analysis, Volume 21,22.
2. Geometrically Unfitted Finite Element Methods and Applications , Bordas, S.P., Burman, E., Larson, M.G., Olshanskii, M.A. (Eds.) Lecture Notes in Computational Science and Engineering series, V. 121 Springer, 2018.
3. Latest research papers.
2. Geometrically Unfitted Finite Element Methods and Applications , Bordas, S.P., Burman, E., Larson, M.G., Olshanskii, M.A. (Eds.) Lecture Notes in Computational Science and Engineering series, V. 121 Springer, 2018.
3. Latest research papers.
听众
Advanced Undergraduate
, Graduate
, 博士后
, Researcher
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笔记公开
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语言
中文
, 英文