Numerical Methods for Elliptic Partial Differential Equations |
last update: 2021-10-01 |
Lecture
Wednesday, 10.15 – 11.45, T 111
Thursday, 10.15 – 11.45, T 111
Exceptions:
Tuesday, April 13, lecture, 10.15 – 11.45, T 041
Wednesday. April 14, tutorial, 10.15 – 11.45, T 111
Tutorial
Tuesday, 10.15 – 11.45, T 041
| Tutorial | Date | Assignment |
|---|---|---|
| 01 | 9 Mar. 2010 | We do some exercises together in class. |
| 02 | 16 Mar. 2010 | tut1002.pdf |
| 03 | 23 Mar. 2010 | tut1003.pdf |
| 04 | 14 Apr. 2010 | tut1004.pdf |
| 05 | 20 Apr. 2010 | tut1005.pdf |
| 06 | 27 Apr. 2010 | tut1006.pdf old_vec.hh mat.hh matvecdemo.cc results (to validate your program) |
| 04 May 2010 | no tutorial (holiday) | |
| 07 | 11 May 2010 | tut1007.pdf |
| 08 | 18 May 2010 | tut1008.pdf
tut8code.tar.gz (alltogether)
results (to validate your program) vec.hh vector.hh sparsematrix.hh sparsematrix.cc mesh.hh mesh.cc smdemo.cc meshdemo.cc |
| 25 May 2010 | no tutorial (free for students of this university | |
| 01 June 2010 | no tutorial (cancelled) | |
| 09 | 08 June 2010 | tut1009.pdf cg.hh results to verify |
| 10 | 15 June 2010 | tut1010.pdf |
| 11 | 22 June 2010 | tut1011.pdf |
| 12 | 29 June 2010 | tut1012.pdf
meshupdate.text (for visualization in MATLAB) meshdemo2.cc (to get a mesh with segments) |
| supplement on Dirichlet conditions: dirichletbc.cc |
Basic lecture notes
[1] Langer U.: Numerik I (Operatorgleichungen), JKU, Linz 1996 (Sobolev-Spaces and Tools).
[ Postscript-File ]
[2] Langer U.: Numerik II (Numerische Verfahren für Randwertaufgaben), JKU, Linz 1996
(FEM and FVM).
[ Postscript-File ]
[3] Jung M., Langer U.: Methode der finiten Elemente für Ingenieure.
Teubner-Verlag, Stuttgart, Leipzig, Wiesbaden 2001
(practical aspects of the FEM).
[ related homepage ]
[4] Steinbach O.: Numerische Näherungsverfahren für elliptische Randwertprobleme.
Teubner-Verlag, Stuttgart, Leipzig, Wiesbaden 2003 (FEM and BEM).
[ related homepage ]
English version:
Steinbach O.: Numerical Approximation Methods for Elliptic Boundary Value Problem: Finite and Boundary Elements.
Springer, New York 2008 (FEM and BEM).
[ related homepage ]
[5] Steinbach O.: Lösungsverfahren für lineare Gleichungssysteme: Algorithmen und Anwendungen.
Teubner-Verlag, Stuttgart, Leipzig, Wiesbaden 2005
(solvers for systems of algebraic equations).
Additional Literature:
[1] Braess D.: Finite Elemente. Springer Lehrbuch, Berlin, Heidelberg 1997.
English version:
Braess D.: Finite Elements: Theory, Fast Solvers and Applications in Solid Mechanics.
Cambridge University Press, Cambridge, 1997, 2001, 2007. - ISBN: 0 521 70518-9
[ related homepage ]
[2] Brenner S.C., Scott L.R.: The Mathematical Theory of Finite Element Methods. Springer, New York 1994.
[3] Ciarlet P.G.: The finite element method for elliptic problems. Classics in Applied Mathematics (40), SIAM, Philadelphia PA, 2002.
[4] Großmann C., Roos H.-G.: Numerik partieller Differentialgleichungen.
Teubner-Verlag, Stuttgart 1992. (3. völlig überarbeitete und erweiterte Auflage, November 2005)
[5] Heinrich B.: Finite Difference Methods on Irregular Networks.
Akademie-Verlag, Berlin 1987.
[6] Knaber P., Angermann L.: Numerik partieller Differentialgleichungen. Eine anwendungsorientierte Einführung.
Springer-Verlag, Berlin-Heidelberg 2000.
[7] Monk P.: Finite Element Methods for Maxwell's Equations.
Oxford Science Publications, Oxford 2003.
[8] Schwarz H.R.: FORTRAN-Programme zur Methode der finiten Elemente.
B.G. Teubner, Stuttgart, 1991.
[9] Schwarz H.R.: Methode der finiten Elemente.
B.G. Teubner, Stuttgart, 1991.
[10] Verfürth R.: A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques.
Wiley - Teubner, 1996.
