65-433 Numerical Methods for PDEs - Galerkin Methods (in English)

Course offering details

Instructors: Prof. Dr. Winnifried Wollner

Event type: Lecture

Displayed in timetable as: M-WR-V

Hours per week: 2

Language of instruction: English

Min. | Max. participants: - | -

Comments/contents:
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
 

Literature:
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.

A script will be available.

Appointments
Date From To Room Instructors
1 Wed, 5. Apr. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
2 Wed, 12. Apr. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
3 Wed, 19. Apr. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
4 Wed, 26. Apr. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
5 Wed, 3. May 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
6 Wed, 10. May 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
7 Wed, 24. May 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
8 Wed, 31. May 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
9 Wed, 7. Jun. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
10 Wed, 14. Jun. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
11 Wed, 21. Jun. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
12 Wed, 28. Jun. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
13 Wed, 5. Jul. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
14 Wed, 12. Jul. 2023 14:15 15:45 Geom H3 Prof. Dr. Winnifried Wollner
Exams in context of modules
Module (start semester)/ Course Requirement combination Exam Date Instructors Compulsory pass
Ma-M-WR_I Scientific Computing I (SuSe 23) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) Prüfung 1  Oral exam Time tbd Prof. Dr. Winnifried Wollner Yes
2  Oral exam Time tbd Prof. Dr. Winnifried Wollner Yes
Ma-M-WR_II Scientific Computing II (SuSe 23) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) Prüfung 1  Oral exam Time tbd Prof. Dr. Winnifried Wollner Yes
Ma-M-WR_III Scientific Computing III (SuSe 23) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) Exam 1  Oral exam Time tbd Prof. Dr. Winnifried Wollner Yes
Ma-M-WR_III Scientific Computing III (SuSe 22) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) Exam 3  Oral exam Time tbd Prof. Dr. Winnifried Wollner Yes
Ma-M-WR_IV Scientific Computing IV (SuSe 23) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) Exam 1  Oral exam Time tbd Prof. Dr. Winnifried Wollner Yes
Class session overview
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Instructors
Prof. Dr. Winnifried Wollner