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Numerical Methods for Partial Differential Equations (MA3303)

FEMMeshg.jpg
Fig.1 - Finite Element mesh and numerical solution
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Fig.2 - L^2-error decay of numerical solution
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Fig.3 - W-cycle of a multigrid-solver

Overview
Lecture Prof. Dr. B. Wohlmuth
Lecture times are only formal placeholders. Everything will take place online via videos that can be viewed any time.
Monday 10:00-12:00 Uhr (online)
Thursday 16:15-17:45 Uhr (online)
Office hours Only online (see Moodle)
Exercises Coordination: Dr. Tobias Köppl, Dr. Laura Melas and Markus Muhr
Exercise times are only formal placeholders. Everything will take place online via videos that can be viewed any time.
Groups Group 1: Monday 14:15-15:45 (online) Tutor: Dr. Laura Melas
Group 2: Tuesday 14:15-15:45 (online) Tutor: Dr. Laura Melas
Group 3: Wednesday 14:15-15:45 (online) Tutor: Markus Muhr
Group 4: Wednesday 16:15-17:45 (online) Tutor: Markus Muhr
Group 5: Thursday 14:15-15:45 (online) Tutor: Tobias Koeppl
Group 6: Friday 14:15-15:45 (online) Tutor: Tobias Koeppl
Prerequisites The following modules are recommended as prerequisites for the participation in this course:

MA2304 Numerical Methods for Ordinary Differential Equations
MA1304 Introduction to Numerical Linear Algebra
MA8003 Introduction to Programming

In parallel to the lecture the following modules are recommended but not necessary

MA3005 Partial Differential Equations
MA3001 Functional Analysis
Modulehandbook Link to the TUMOnline Module handbook entry of the lecture

General information

IMPORTANT

Exam

The exam will be conducted as an UNsupervised E-Test at the end of the semester. Towards the end of the semester break there will be a retake exam in the same fashion. For more details about the exam, please join the moodle course and have a look into the announcement forum there.

Content

Only this very first introductory video will be publicly available. All other lecture content will only be distributed over moodle. Please follow the instructions given here to register for the moodle course.

Lecture

All lecture content will be distributed over moodle. There will be slides and video-lectures available usually uploaded at the normal lecture hours, which can then be (re)watched at any time.

Exercises

All exercise content will be distributed over moodle. There will be exercise sheets, draft solutions, solution codes and video-tutorials available usually uploaded weekly, which can then be (re)watched at any time.

Software

Literature

Braess.jpg Brenner.jpeg Ciarlet.jpg Deuflhard.jpg Ern.jpg Grossmann.jpg
Braess xxxxxxxxxxxxxxxxxxx Brenner/Scott xxxxxxxxxxxxxxxxxx Ciarlet xxxxxxxxxxxxxxxxxx Deuflhard/Weiser xxxxxxxxxxxxxxxxxx Ern/Guermond xxxxxxxxxxxxxxxxxx Grossmann/Roos/Stynes xxxxxxxxxxxxxxxxxx
Finite Elemente The Mathematical Theory of Finite Element Methods The Finite Element Method for Elliptic Problems Adaptive numerical solutions of PDEs Theory and Practice of Finite Elements Numerical Treatment of Partial Differential Equations
Springer, 2013 Springer, 2008 SIAM, 2002 de Gruyter, 2011 Springer, 2004 Springer, 2007

To get access to the eBooks (if available on the publisher's website) on the respective pages, please register via ''Your Institution'' (TU München / TU Munich / TUM / ...). If prompted, choose Shibboleth instead of Athens as identification method. The books can then be downloaded as pdf. Some books might also be available over the TUM library.


For questions, suggestions or complaints, please write an eMail to Markus Muhr.