Numerical methods for partial differential equations (101.773 and 101.775)

From Wiki
Revision as of 11:03, 1 February 2021 by Plederer (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

First lecture: 14:00 on 1. March 2021 via ZOOM. You can find the link in the TUWEL course of the lecture.

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

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)