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Welcome to the course! The schedule for the course can be found in TimeEdit.
Teachers
Course coordinator: Axel Målqvist
Teaching assistants: Carl Lundholm
Course literature
S. Larsson and V. Thomée,
Partial Differential Equations with Numerical Methods,
Texts in Applied Mathematics 45, Springer, 2003.
Corrected second printing 2005.
Program
Lectures
| Day |
Sections | Contents |
|---|---|---|
| 1 Monday |
A.1 |
Tools in functional analysis |
| 1 Wednesday |
A.2 |
Sobolev spaces |
| 1 Friday |
3.4-3.5 |
Elliptic problems |
| Easter break |
|
|
| |
|
|
| 2 Monday |
Exercises A.9, A.11, A.15 |
|
| 2 Wednesday |
|
FEniCS tutorial (Carl) |
| 2 Friday |
|
Exercises 3.8, 3.9, 3.11 |
| 3 Monday |
5.1-5.3 |
FEM for elliptic problems |
| 3 Wednesday |
5.4-5.6, notes |
Adaptive algorithms |
| 3 Friday |
|
Exercises 5.3, 5.6, 5.8 |
| 4 Monday |
6.1 |
Eigenvalue problems |
| 4 Wednesday |
6.2 |
FEM for eigenvalue problems |
| 4 Friday |
|
Exercises 6.1, 6.3 |
| 5 Monday |
No class |
|
| 5 Wednesday |
8.2 |
Parabolic problems, eigenfunction expansion |
| 5 Friday |
|
Exercises 8.6, 8.10, 8.16 |
| 6 Monday |
8.3 |
Parabolic problems, variational formulation |
| 6 Wednesday |
10.1 |
FEM for parabolic problems, semi discrete |
| 6 Friday |
No class |
|
| 7 Monday |
10.2 |
FEM for parabolic problems, fully discrete |
| 7 Wednesday |
notes |
Semilinear parabolic problems |
| 7 Friday |
|
Exercises 10.1, 10.3, 10.5 |
| 8 Monday |
notes |
Semilinear parabolic problems |
| 8 Wednesday |
|
Questions/Repetition |
| 8 Friday |
No class |
Recommended exercises
| Day |
Exercises |
|---|---|
| 2 Friday |
A.6, A.16, A.17, 3.5, 3.10, 3.13 |
| 3 Friday |
5.4a, 5.5, 5.7, 5.17 |
| 4 Friday |
6.5, 6.7 |
| 5 Friday |
8.4, 8.5, 8.11 |
| 7 Friday |
10.4, 10.6, 10.8 |
Course requirements
Important theorems: A.4, 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
The learning goals of the course can be found in the course plan.
Computer assignments
Two computer assignments can in total give at most 5 bonus points. Computer assignment 1 (2.5
bonus points) and Computer assignment 2 (2.5
bonus points). Hand in on Friday Week 8.
Examination
Written exam. Maximum 50 points+bonus, U: 0-19, 3(G): 20-29, 4: 30-39, 5: 40-, and VG 35-.
Examination procedures
In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers. In addition to that, there is a schedule when exams are given for courses at University of Gothenburg.
Before the exam, it is important that you sign up for the
examination. If you study at Chalmers, you will do this by the
Chalmers Student Portal, and if you study at University of
Gothenburg, you sign up via GU's
Student Portal.
At the exam, you should be able to show valid identification.
After the exam has been graded, you can see your results in Ladok by logging on to your Student portal.
At the annual (regular) examination:
When it is practical, a separate review is arranged. The date of
the review will be announced here on the course homepage. Anyone
who can not participate in the review may thereafter retrieve
and review their exam at the Mathematical
Sciences Student office. Check that you have the right
grades and score. Any complaints about the marking must be
submitted in writing at the office, where there is a form to
fill out.
At re-examination:
Exams are reviewed and retrieved at the Mathematical
Sciences Student office. Check that you have the right
grades and score. Any complaints about the marking must be
submitted in writing at the office, where there is a form to
fill out.
Old exams
180529 (sol),
170823 (sol),
170530 (sol)
160826 (sol),
160531 (sol),
150828 (sol),
150602 (sol),
140829 (sol),
140527 (sol)