TMA026 / MMA430 Partial differential equations - second course Spring 21
This page contains the program of the course: lectures and exercise sessions. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.
The lectures will be given on zoom:
https://chalmers.zoom.us/j/5435415306 password: 271828
The exercise classes will also be given on zoom: Zoom link
Under files there are video lectures from 2020, covering the same material (except the last week since we do solid mechanics panics this year), and solutions to some exercises. There you can also find lecture notes and old exams.
Program
The schedule of the course is in TimeEdit.
Lectures
| Day | Sections | Content |
|---|---|---|
| 22/3 | A.1 | Functional analysis Z01.pdf |
| 24/3 | A.2 | Sobolev spaces Z02.pdf |
| 26/3 | Exercises: A.6,A.11,A.15 | |
| 12/4 | 3.1,3.5,3.7 | Elliptic problems Z03.pdf |
| 14/4 | 5.1-5.3 | FEM Z04.pdf |
| 16/4 | Exercises: 3.8, 3.9, 3.11 | |
| 19/4 | 5.4-5.6 | Adaptive algorithms Z05.pdf |
| 21/4 | 6.1 | Eigenvalue problems Z06.pdf |
| 23/4 | Exercises: 5.3, 5.6, 5.11, 6.1 | |
| 26/4 | 6.2 | FEM for eigenvalue problems Z07.pdf |
| 3/5 | 8.2 | Parabolic problems: eigenfunction expansion Z08.pdf |
| 5/5 | 8.3 | Parabolic problems: variational formulation Z09.pdf |
| 7/5 | Exercises: 8.6, 8.10, 8.16 | |
| 10/5 | 10.1-2 | FEM for parabolic problems Z10.pdf |
| 12/5 | notes | Linear elasticity Z11.pdf |
| 17/5 | notes | Linear elasticity Z12.pdf |
| 19/5 | Repetition Z13.pdf | |
| 21/5 | Exercises: 10.1, 10.4, X.2, X.3 |
Recommended exercises
| Day | Exercises |
|---|---|
| 26/3 | A.7, A.9, A.16 |
| 16/4 | 3.5, 3.10, 3.13 |
| 23/4 | 5.5, 5.7, 5.17, 6.3 |
| 7/5 | 6.5, 8.4, 8.5, 8.11 |
| 21/5 | 10.3, X.1, X.4 |
Important theorems:
A.4, A.6, 3.6, 3.8, 5.3, 5.4, 6.1, 6.2, 6.3, 6.5, 6.7, 8.3, 8.4, 8.5, 8.6, 10.1, 10.2, 10.5
Course summary:
| Date | Details | Due |
|---|---|---|