TMA4220 Numerical Solution of Partial Differential Equations Using Element Methods - Autumn 2015


As preparation for the exam, it's a good idea to solve the old exam questions listed here, as well as the previous year's exercises.

  • Time: 4. December, 09:00–13:00.
  • Permitted aids: ONLY a permitted calculator.
  • Grading: The project counts 35% and the exam 65% toward the final grade.

General information

Old messages (click to expand)

Old messages (click to expand)

23.10 The exercise session on Wednesday 28. October has been moved to Thursday 29. October, 12:15-14:00 in room 656 (so there will be no lecture on Thursday).
22.10 Several typos in project 2C: In the definition of \(\bar{\sigma}\), in the definition of \(\varepsilon_{xy}=\varepsilon_{yx}\), and the letter \(v\) has been changed in point 1 and 2 to avoid confusion with \(\nu\). The corrected file can be found under "Exercises/projects".
05.10 Project 2 is now online. The deadline and the presentations will be in the last or second-last week of the semester (11-12 or 18-19 November).
02.10 The file writeVTF has now been added to
01.10 The deadline for Project 1 is on Friday 9. October.
25.09 I have added a section about approximation by smooth functions to the page on Sobolev spaces.
24.09 Filippo has fixed the weights in the Gauss quadrature in Project 1 (they now sum up to 1, 1/2 and 1/6 in 1D, 2D and 3D, as they should). A new PDF file has been uploaded.
20.09 I have written a short collection of definitions and facts about Lebesgue and Sobolev spaces; see the left-hand menu. Please let me know if you spot any mistakes or if you have suggestions for additional material.
15.09 I've made a small change to the boundary conditions in exercise 2c)-d) in Exercise Set 2. (You might need to press F5 in your browser to get the updated PDF file.)
14.09 Exercise set 2 has now been uploaded. A solution will be given in about 2 weeks.
08.09 Part 1 of the project has now been uploaded. The deadline will be around 7 October (to be fixed!). Solutions to Exercise Set 1 have also been uploaded (sorry about the delay!)
03.09 A small typo in the 4-point Gauss quadrature in Exercise set 1 has been fixed.
24.08 Thursday lectures will now be held in room 656 in Sentralbygg II. I remind you that there are no lectures on 26-27 August.
21.08 The first exercise set can be found under Exercises. A (partial) solution will be given in about 2 weeks.
05.08 The first lecture will be on 19 August, 08:15-10:00. I will be away 26-27 August so there will be no lecture that week. Instead, I will lecture in the exercise session on 19 August, 16:15-18:00. There will be a set of exercises to enjoy while I'm away.

Course material

We will mostly follow the book Numerical Models for Differential Problems by Alfio Quarteroni (Second Edition, Springer, 2014). A free digital version of the book is available at Springer Link for those with a university IP (e.g., accessed from campus).

As an easy-to-read supporting literature, I can recommend the book Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson (Dover Publications). The book is a bit old, but not at all outdated for the purposes of this course.

2015-11-26, Ulrik Skre Fjordholm