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

  • Exercise sheet 4 was updated on Friday 10th of November, at 15:30.

Content

Topics:

  • Modelling with PDEs
  • Theory and numerics of elliptic PDEs
  • FDM
  • FEM
  • Non-conform methods
  • MultiGrid
  • A-posteriori error estimators

Dates

LectureFr, 8-10HeHo 22, E.04

 

ExerciseWed, 10-12HeHo 22, E.03

Exercise Sheets

Exercises will take place Wednesdays every week.

 

No.           Sheet        Due

1.

Sheet1

25.10.17

2.

Sheet23.11.17
3.Sheet38.11.17
4.Sheet415.11.17
5.

Sheet5

fem2d

22.11.17
6.Sheet629.11.17
7.Sheet76.12.17
8.

Sheet8

Material8

13.12.17

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
  • E-mail
  • Helmholtzstr. 20
  • Raum 1.12
  • 0731/50-235 35
  • Exercises:
  • M.Sc. Mazen Ali
  • E-mail
  • Helmholtzstr. 20
  • Raum 1.30
  • 0731/50-235 38

Exam and Requirements

Exam: tba.

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.