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

## Exam

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)

 23.1 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). 22.1 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". 5.1 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). 2.1 The file writeVTF has now been added to grids.zip. 1.1 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. 8.09 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!) 3.09 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. 5.08 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.