Introduction to Finite Element Methods

Speaker：

Oscar Mickelin（YMSC）

Time：

Mon. & Tues., 10:40 am-12:15,

Sept. 15-Dec. 9, 2025

Venue：

C548, Shuangqing Complex Building A

Description:

The course will give an introduction to finite element methods for solving boundary value problems in dimensions 1, 2 and 3. It will cover both theoretical and practical topics, e.g., appropriate approximation theory and error estimates, questions about well-posedness and uniqueness of solutions, as well as fast solution methods and engineering applications.

Some familiarity with real and numerical analysis will be helpful, but the course will aim to be self-contained and accessible to students in mathematics as well as adjacent fields.

Prerequisite:

Some familiarity with numerical analysis and real analysis

Reference:

S. C. Brenner and L. R. Scott. The Mathematical Theory of Finite Element Methods, volume 15 of Texts in Applied Mathematics. Springer-Verlag New York, third edition edition, 2008

K. Eriksson, D. Estep, P. Hansbo, & C. Johnson, Computational Differential Equations. CUP, 1996.

M.G. Larson, and F. Bengzon. The finite element method: theory, implementation, and applications. Vol. 10. Springer Science & Business Media, 2013.

Target Audience: Undergraduate students, Graduate students

Teaching Language: English