Numerical Methods for Partial Differential Equations (MA 3303)

Organisatorial

Lecture	Prof. Dr. B. Wohlmuth
	Mo. 10:00 - 12:00	MI Hörsaal 3 (5606.EG.011)
	Do. 16:15 - 17:45	MI Hörsaal 3 (5606.EG.011)
Exercises	Ettore Vidotto
	Dr. Lorenz John
	Dr. Laura Scarabosio
	Markus Muhr ()
	Group 1: We. 8:00 - 9:30	BC1 2.02.11, Seminarraum (8101.02.211)	Lorenz John
	Group 2: We. 16:00 - 17:30	1701, Seminarraum (5507.01.701)	Laura Scarabosio
	Group 3: Th. 8:15 - 9:45	BC2 0.01.04, Seminarraum (8102.EG.104)	Ettore Vidotto

General informations

• On Wednesday, 7.12, and on Thursday, 8.12, there are no exercise groups, due to the "Dies Academicus 2016".
• The notes for the class on Monday, 24th are now online hier
• General informations
• Website in TUMOnline: Class, Exercises.
• Classes begin on Monday, October 17th.
• The current exercise sheets will be available online every Thursday after the lecture.
• The first exercise sheet will be distributed on Thursday, October 20th. The first tutor groups are planned to be held in the second week.
• We distribute solutions to the homework when the next sheet is available.
• Please notice that dates and room numbers are subject to change.
• Please register for one of the exercise groups via TUM-Online.

Contents

• Fact Sheet Functional Analysis

• 1. Introduction and motivations
  • Slides motivations

• 2. Weak formulation

• 3. Conforming Finite Elements

• 4. ...

Notes

• Lectures notes with gaps
• Lectures notes

Exercise sheets and solutions

• Sheets & Solutions

Exam

• The exam will be take place on 1st March 2017 at 16:00 in room Hörsaal - MI HS1 (00.02.001).
• The exams last 90 minutes.
• Apart from 4 pages (2 sheets) handwritten notes, no further auxiliary material is allowed.
• A mark of at least 4.0 is required to pass the exam.

Bonus system

• During the semester, 4 additionals exercise sheets are going to be proposed. The time to work on these exercises will usually consist of two weeks and the solutions will be discussed in designated hours. The discussions take place on tuesdays, from 12:00 to 14:00 in Room 03.04.011. The exact day of the tutorials will be communicated togher with the exercise sheets.
• Each exercise consists in different parts, in form of part a), part b), etc. Every part provides one credit and 80% of such credits is required to obtain the extra bonus for the final exam.
• All programms have to be written in Matlab/Octave and, when requested, in FEniCS .
• For the programming part of the project, the tasks will consist in completing or modifing some function/code slightly (i.e. fill in some gaps). Such code will be provided from the Tutor on this webpage together with the exercise sheet.
• In order to be eligible for the bonus, every student that takes part at the computer exercises has to present one part of the exercise at least once during the semester. For this, each student must have his working codes on his own Laptop or USB-stick.
• Homework credits are awarded if the tutors conclude that
  • 1) the students put serious effort in the solution of the exercise;
  • 2) the solution catches the main mathematical ideas of the exercise.
• The bonus improves the final mark by one step, f.e. from 2.3 to 2.0
• The mark 1.0 can not be further improved
• The bonus is only applied, if the exam is passed without. That is, it does not improve the marks 4.3, 4.7 or 5.0
• The homework can be submitted in groups of at most 3 students.
• The bonus is valid for the exam of this class in March and in April.
• An introduction to the problem that we are going to solve in this programming project can be found hier.

Literature

• D. Braess: Finite Elemente. Theorie, schnelle Loeser und Anwendungen in der Elastizitaetstheorie, Springer-Lehrbuch, 2003.
• S. Brenner, R. Scott: The Mathematical Theory of Finite Element Methods, Springer, 2008.
• W. Hackbusch: Elliptic differential equations: theory and numerical treatment., Springer Series in Computational Mathematics 18, Springer-Verlag, 1992.
• A. Quarteroni, A. Valli: Numerical approximation of partial differential equations., Springer Series in Computational Mathematics 23, Springer-Verlag, 1994.

• Useful links:
  • Official Matlab-Documentation 
  • FEniCS 

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Fragen, Anregungen und Beschwerden bitte per Email an Ettore Vidotto.