65-433 Numerical Methods for PDEs - Galerkin Methods (in English) (block course in the second half of the term)

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Instructors: Prof. Dr. Hendrik Ranocha

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 Tue, 31. May 2022 10:15 11:45 Geom H4 Prof. Dr. Hendrik Ranocha
2 Fri, 3. Jun. 2022 08:15 09:45 Geom H6 Prof. Dr. Hendrik Ranocha
3 Tue, 7. Jun. 2022 10:15 11:45 Geom H4 Prof. Dr. Hendrik Ranocha
4 Fri, 10. Jun. 2022 08:15 09:45 Geom H6 Prof. Dr. Hendrik Ranocha
5 Tue, 14. Jun. 2022 10:15 11:45 Geom H4 Prof. Dr. Hendrik Ranocha
6 Fri, 17. Jun. 2022 08:15 09:45 Geom H6 Prof. Dr. Hendrik Ranocha
7 Tue, 21. Jun. 2022 10:15 11:45 Geom H4 Prof. Dr. Hendrik Ranocha
8 Fri, 24. Jun. 2022 08:15 09:45 Geom H6 Prof. Dr. Hendrik Ranocha
9 Tue, 28. Jun. 2022 10:15 11:45 Geom H4 Prof. Dr. Hendrik Ranocha
10 Fri, 1. Jul. 2022 08:15 09:45 Geom H6 Prof. Dr. Hendrik Ranocha
11 Tue, 5. Jul. 2022 10:15 11:45 Geom H4 Prof. Dr. Hendrik Ranocha
12 Fri, 8. Jul. 2022 08:15 09:45 Geom H6 Prof. Dr. Hendrik Ranocha
13 Tue, 12. Jul. 2022 10:15 11:45 Geom H4 Prof. Dr. Hendrik Ranocha
14 Fri, 15. Jul. 2022 08:15 09:45 Geom H6 Prof. Dr. Hendrik Ranocha
Exams in context of modules
Module (start semester)/ Course Requirement combination Exam Date Instructors Compulsory pass
Ma-M-WR_I Scientific Computing I (SuSe 22) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) (block course in the second half of the term) Prüfung 1  Oral exam Time tbd Prof. Dr. Hendrik Ranocha Yes
Ma-M-WR_I Scientific Computing I (SuSe 21) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) (block course in the second half of the term) Prüfung 4  Exam Time tbd Prof. Dr. Hendrik Ranocha Yes
Ma-M-WR_II Scientific Computing II (SuSe 22) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) (block course in the second half of the term) Prüfung 1  Oral exam Time tbd Prof. Dr. Hendrik Ranocha Yes
2  Oral exam Time tbd Prof. Dr. Hendrik Ranocha Yes
3  Oral exam Time tbd Prof. Dr. Hendrik Ranocha Yes
Ma-M-WR_III Scientific Computing III (SuSe 22) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) (block course in the second half of the term) Exam 1  Oral exam Time tbd Prof. Dr. Hendrik Ranocha Yes
Ma-M-WR_IV Scientific Computing IV (SuSe 22) / M-WR-V  Numerical Methods for PDEs - Galerkin Methods (in English) (block course in the second half of the term) Exam 1  Oral exam Time tbd Prof. Dr. Hendrik Ranocha Yes
Class session overview
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Instructors
Prof. Dr. Hendrik Ranocha