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Adaptive Finite Element Methods (Summer Semester 2013)

  • Lecturer: Prof. Dr. Willy Dörfler
  • Classes: Lecture (0160600), Problem class (0160610)
  • Weekly hours: 2+1
  • Audience: Mathematics (7.-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.

Lecture: Thursday 11:30-13:00 1C-03 Begin: 18.4.2013, End: 18.7.2013
Problem class: Wednesday 9:45-11:15 (every 2nd week) 1C-01 Begin: 24.4.2013
Lecturer Prof. Dr. Willy Dörfler
Office hours: Monday, 14:15-15:15 or by appointment.
Room 3.013 Kollegiengebäude Mathematik (20.30)
Email: willy.doerfler at kit.edu