TMA026 / MMA430 Partial differential equations - second course

TMA026 / MMA430 Partial differential equations - second course

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 and exercise classes will this year be on the Chalmers campus after two years of zoom lecturing. 

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
21/3 A.1 Functional analysis
23/3 A.2 Sobolev spaces
25/3 Exercises: A.6,A.11,A.15
28/3 3.1-3.2,3.5,3.7 Elliptic problems
30/3 5.1-5.3 FEM
1/4 Exercises: 3.8, 3.9, 3.11
4/4 5.4-5.6 Adaptive algorithms  
6/4 6.1 Eigenvalue problems  
8/4 Exercises: 5.3, 5.6, 5.11
25/4 6.2 FEM for eigenvalue problems
27/4 Exercises:  6.1, 6.3
29/4 8.2 Parabolic problems: eigenfunction expansion
2/5 8.3 Parabolic problems: variational formulation
4/5 10.1-10.2 FEM for parabolic problems
6/5 Exercises: 8.6, 8.10, 8.16, 10.1
9/5 notes Linear elasticity
11/5 notes Linear elasticity
13/5 Exercises: 10.3, 10.4, X.2, X.3
16/5 notes Multiscale problems
18/5 Course summary and questions
20/5 Questions

 

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Recommended exercises

Day Exercises
25/3 A.7, A.9, A.16
1/4 3.5, 3.10, 3.13
8/4 5.5, 5.7, 5.17
27/4 6.5, 6.7
6/5 8.4, 8.5, 8.11
13/5 10.5, X.1, X.4

One one the exam questions will be to state and prove one of the following theorems:

A.4, 3.6, 5.3, 5.4, 6.1, 6.2, 6.5, 6.7, 8.3, 8.5, 8.6, 10.1

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Course summary:

Date Details Due