# TMA026 / MMA430 Partial differential equations - second course Spring 21

## 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:

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

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#### 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

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Date Details Due