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.
Lecturer
Date
19th March ~ 4th June, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 13:30 - 16:55 | A3-1a-205 | ZOOM 06 | 537 192 5549 | BIMSA |
Prerequisite
Basic knowledge about functional analysis, partial differential equations, differential geometry (of curves and surfaces), and finite element methods.
Syllabus
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.
Reference
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.
Audience
Advanced Undergraduate
, Graduate
, Postdoc
, Researcher
Video Public
Yes
Notes Public
Yes
Language
Chinese
, English