Numerical methods for partial differential equations (101.773 and 101.775)
First lecture: 14:00 on 1. March 2021 at Freihaus, second floor, green area, room: Sem.R. DA grün 02 A
Lecture and exercise: Philip Lederer (Philip Lederer)
Notes on lecture and exercise
- Lecture notes: pdf
- In the exercises, we are going to use NGSolve: Tutorials: i-Tutorials, You can also install Jupyter notebook, an use the tutorials iFEM.zip by starting iFEM.ipynb
- Exercises are located here (psw protected)
Additional literature
Finite element methods:
Dietrich Braess: Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics, Cambridge University Press, 2007
Cleas Johnson: Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge Univ. Press, 1987, Dover 2009
Susanne Brenner & Ridgway Scott: The Mathematical Theory of Finite Elements, Springer 2008
Alexandre Ern & Jean-Luc Guermond: Theory and Practice of Finite Elements, Springer, 2010
Applied functional analysis:
Lineare Funktionalanalysis: Eine anwendungsorientierte Einführung (Hans Wilhelm Alt)
Angewandte Funktionalanalysis: Funktionalanalysis, Sobolev-Räume und elliptische Differentialgleichungen(Manfred Dobrowolski)
Applied Functional Analysiss (Tinsley Oden, Leszek Demkowicz)