Numerics of Elliptic Partial Differential Equations
The course "Numerics of elliptic partial differential equations" consists of one 2-hour lecture and one 2-hour exercise per week.
News
- Exam dates have been updated!
Content
Topics:
- Modelling with PDEs
- Theory and numerics of elliptic PDEs
- FDM
- FEM
- Non-conform methods
- MultiGrid
- A-posteriori error estimators
Dates
| Lecture | Fr, 8-10 | HeHo 22, E.04 |
| ||
| Exercise | Wed, 10-12 | HeHo 22, E.03 |
Oral Exam Dates
- Tuesday, 27.02.18, 08:00 to 11:45
- Friday, 16.03.18, 08:00 to 11:45
- Tuesday, 03.04.18, 08:00 to 11:45
- Friday, 06.04.18, 08:00 to 11:45
Exercise Sheets
Exercises will take place Wednesdays every week.
No. Sheet Due
1. | 25.10.17 | |
2. | Sheet2 | 3.11.17 |
| 3. | Sheet3 | 8.11.17 |
| 4. | Sheet4 | 15.11.17 |
| 5. | 22.11.17 | |
| 6. | Sheet6 | 29.11.17 |
| 7. | Sheet7 | 6.12.17 |
| 8. | 13.12.17 | |
| 9. | 20.12.17 | |
| 10. | 10.1.18 | |
| 11. | Sheet11 | 17.1.18 |
| 12. | 24.1.18 | |
| 13. | Sheet13 | 31.1.18 |
| 14. | Sheet14 | 7.2.18 |
Literature
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2, Springer 2002
A.Tveito, R. Winther: Einführung in partielle Differentialgleichungen - Ein numerischer Zugang, Springer 2002
D. Braess: Finite Elemente, 2. Aufl., Springer 1997P.
Knabner, L. Angermann: Numerik partieller Differentialgleichungen, Springer 2000
S.C. Brenner, L.R. Scott: The Mathematical Theory of Finite Element Methods, 2nd edition, Springer 2002
Ch. Großmann, H.-G. Roos: Numerik partieller Differentialgleichungen, Teubner 1994
W. Hackbusch: Theorie und Numerik elliptischer Differentialgleichungen, Teubner 1996
A. Meister: Numerik linearer Gleichungssysteme, Vieweg 1999
G. Dzuik: Theorie und Numerik Partieller Differentialgleichungen, De Gruyter 2010
W. Arendt, K. Urban: Partielle Differenzialgleichungen, Spektrum 2010
L. C. Evans: Partial Differential Equations, 2nd edition, AMS 2010
Responsible
- Lecture:
- Prof. Dr. Karsten Urban
- Helmholtzstr. 20
- Raum 1.12
- 0731/50-235 35
- Exercises:
- M.Sc. Mazen Ali
- Helmholtzstr. 20
- Raum 1.30
- 0731/50-235 38
Exam and Requirements
Exam: oral.
To be admitted to the exam you have to actively participate at the exercises and achieve a minimum of 50% of all theory points and 50% of all coding points.