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Arbeitsgruppe 2: Numerik partieller Differentialgleichungen

Kollegiengebäude Mathematik (20.30)
Zimmer 3.012

Zimmer 3.012
Mathematikgebäude (20.30)
Englerstraße 2
D-76131 Karlsruhe

Institut für Angewandte und
Numerische Mathematik 2
Karlsruher Institut für Technologie (KIT)
D-76049 Karlsruhe

Mo. bis Do.: 10:00-11:30 Uhr

Tel.: 0721 608 42680

Fax.: 0721 608 46679

Adaptive Finite Element Methods (Sommersemester 2013)

Dozent: Prof. Dr. Willy Dörfler
Veranstaltungen: Vorlesung (0160600), Übung (0160610)
Semesterwochenstunden: 2+1
Hörerkreis: Mathematik (8.-10. Semester)

It is not advisable to use numerical simulations without control of the (problemdependent) error. For example, in the calculation of the statics of a building, all displacements, forces and stresses should satisfy tolerances that guarantee the elastic behaviour of the used material which is the base of the modelling.
We discuss methods to compute, together with the solution, estimates for various kinds of error measures. Moreover, this error estimation also allows to adapt the whole numerical algorithm to the solution and this can result in tremendous savings in the simulation. It can be proved for model problems, that such algorithms are of optimal complexity. We treat stationary and time-dependent problems.

Requirements: Knowledge in Finite Element Methods and basics in the theory of elliptic and parabolic partial differential equations.

By request, the lecture is given in english.

Vorlesung: Donnerstag 11:30-13:00 1C-03 Beginn: 18.4.2013, Ende: 18.7.2013
Übung: Mittwoch 9:45-11:15 (14-tägig) 1C-01 Beginn: 24.4.2013
Dozent Prof. Dr. Willy Dörfler
Sprechstunde: Donnerstags, 15:45-16:45 Uhr (Aktuelle Änderungen unten)
Zimmer 3.013 Kollegiengebäude Mathematik (20.30)
Email: willy.doerfler at kit.edu