65-433 Numerical Methods for PDEs - Finite Elements (in Englisch)

Veranstaltungsdetails

Lehrende: Prof. Dr. Winnifried Wollner

Veranstaltungsart: Vorlesung

Anzeige im Stundenplan: M-WR-V

Semesterwochenstunden: 2

Unterrichtssprache: Englisch

Min. | Max. Teilnehmerzahl: 5 | -

Kommentare/ Inhalte:
The lecture will be concerned with numerical methods for the solution of elliptic PDEs.
In particular, we will consider the finite element method.

Topics of this lecture include:
-Sobolev Spaces
-Weak formulation of elliptic boundary value problems
-Galerkin methods
-finite element spaces
-a priori discretization error estimates
-solution methods for the discrete systems

Literatur:
The contents of this lecture as well as additional material may be found in:

S. C. Brenner, L. R. Scott; The mathematical theory of finite element methods
D. Braess; Finite Elemente: Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie
P. G. Ciarlet; The finite element method for elliptic problems
G. Strang, G. J. Fix; An analysis of the finite element method

and many more.

Modulkürzel:
Ma-M-WR_I, Ma-M-WR_II

Zusätzliche Hinweise zu Prüfungen:
Homework:

* There is a weakly homework sheet, which is distributed during the lectures.
They are also available electronically .
* All exercises may be solved in teams of at most three people.

Exam:

* At the end of the term there is an examn, which has to be passed to get a certificate.
   Condition for participation are:
       -At least 50% of the homework credit points have been reached.
       -Active participation in the exercise class.
  
* Date and time of the exam are shortly after the end of the semester. The exact date is to be announced.
   There will be a second possibility to take the exam at the end of the term break.
* Certificates have a grade, according to the grade reached in the exam.

Criteria for the certificate:

* Active contribution in the exercise class
* 50 % of the total number of homework points
* Exam successfully passed

Termine
Datum Von Bis Raum Lehrende
1 Mi, 4. Apr. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
2 Mi, 11. Apr. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
3 Mi, 18. Apr. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
4 Mi, 25. Apr. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
5 Mi, 2. Mai 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
6 Mi, 9. Mai 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
7 Mi, 16. Mai 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
8 Mi, 23. Mai 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
9 Mi, 6. Jun. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
10 Mi, 13. Jun. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
11 Mi, 20. Jun. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
12 Mi, 27. Jun. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
13 Mi, 4. Jul. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
14 Mi, 11. Jul. 2012 10:15 11:45 Geom H5 Prof. Dr. Winnifried Wollner
Prüfungen im Rahmen von Modulen
Modul (Startsemester)/ Kurs Leistungs­kombination Prüfung Datum Lehrende Bestehens­pflicht
Ma-M-WR_I Wissenschaftliches Rechnen I (SoSe 12) / M-WR-V  Numerical Methods for PDEs - Finite Elements (in Englisch) Prüfung 1  Mündliche Prüfung k.Terminbuchung Prof. Dr. Winnifried Wollner Ja
Ma-M-WR_I Wissenschaftliches Rechnen I (SoSe 11) / M-WR-V  Numerical Methods for PDEs - Finite Elements (in Englisch) Prüfung 3  Mündliche Prüfung k.Terminbuchung Prof. Dr. Winnifried Wollner Ja
Ma-M-WR_II Wissenschaftliches Rechnen II (SoSe 12) / M-WR-V  Numerical Methods for PDEs - Finite Elements (in Englisch) Prüfung 1  Mündliche Prüfung k.Terminbuchung Prof. Dr. Winnifried Wollner Ja
2  Mündliche Prüfung k.Terminbuchung Prof. Dr. Winnifried Wollner Ja
3  Mündliche Prüfung k.Terminbuchung Prof. Dr. Winnifried Wollner Ja
Übersicht der Kurstermine
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Lehrende
Prof. Dr. Winnifried Wollner