Seminar on Numerical Analysis

letzte Änderung: 2017-09-13

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Seminar on Numerical Analysis

Adaptive Finite Element Methods (AFEM)

(Course Id 327.014, 2 hours per week, semester 5)

Supervisors: A.Univ.-Prof. Dr. Helmut Gfrerer

                       O.Univ.-Prof. Dr. Ulrich Langer

                       A.Univ.-Prof. Dr. Walter Zulehner

Start of the seminar: Tue, 2019-10-08, 13:45 - 15:15 Uhr, Room: S2 054

Time, room, seminar, student, supervisor:

Tue, 2019-10-08 13:45 - 15:15 Room: S2 054 Seminar 01: Introduction
Langer
Tue, 2019-10-15 13:45 - 15:15 Room: S2 054 Consultation

Tue, 2019-10-22 13:45 - 15:15 Room: S2 054 Seminar 02 Endtmayer Gfrerer
Tue, 2019-10-29 13:45 - 15:15 Room: S2 054 Seminar 03 N.N. N.N.
Tue, 2019-11-05 13:45 - 15:15 Room: S2 054 Seminar 04 N.N. N.N.
Tue, 2019-11-12 13:45 - 15:15 Room: S2 054 Seminar 05 N.N. N.N.
Tue, 2019-11-19 13:45 - 15:15 Room: S2 054 Seminar 06 N.N. N.N.
Tue, 2019-11-26 13:45 - 15:15 Room: S2 054 Seminar 07 N.N. N.N.
Tue, 2019-12-03 13:45 - 15:15 Room: S2 054 Seminar 08 N.N. N.N.
Tue, 2019-12-10 13:45 - 15:15 Room: S2 054 Seminar 09 N.N. N.N.
Tue, 2019-12-17 13:45 - 15:15 Room: S2 054 Seminar 10 N.N. N.N.
Tue, 2020-01-07 13:45 - 15:15 Room: S2 054 Seminar 11 N.N. N.N.
Tue, 2020-01-14 13:45 - 15:15 Room: S2 054 Seminar 12 N.N. N.N.
Tue, 2020-01-21 13:45 - 15:15 Room: S2 054 Seminar 13 N.N. N.N.
Tue, 2020-01-28 13:45 - 15:15 Room: S2 054 Seminar 14 N.N. N.N.


- Seminar Topics up

The seminar deals with the theoretical aspects of AFEM for elliptic BVP such as

> Reliability of a posteriori error estimates
> Efficiency of a posteriori error estimates
> Constants
> Computable bounds
> Convergence
> Convergence rates

but also with a posteriori error estimates and AFEM for

> parabolic initial-boundary value problems
> hyperbolic problems
> optimal control problems


Seminar 01: 2019-10-08
Introduction by Langer
Seminar 02: 2019-10-22
Title: Convergence of AFEM
Literature:   [1]
Supervisor: H. Gfrerer
Student:     B. Endtmayer
Seminar 03: 2019-10-29
Title:
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Seminar 04: 2019-11-05
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Seminar 05: 2019-11-12
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Seminar 06: 2019-11-19
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Seminar 07: 2019-11-26
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Seminar 08: 2019-12-03
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Seminar 09: 2019-12-10
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Seminar 10: 2019-12-17
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Seminar 11: 2020-01-07
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Seminar 12: 2020-01-14
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Seminar 13: 2020-01-21
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Seminar 14: 2020-01-28
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- Literature up

[1]   W. Dörfler, Convergent Adaptive Algorithm for Poisson’s Equation, SIAM J. Numer. Anal., 33(3), 1106–1124.

- Additional Literature: Books on AFEM up

[A]   R. Verfürth, A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Wiley-Teubner, 1996 (150 pp).
[B]   R. Verfürth, A Posteriori Error Estimation Techniques for Finite Element Methods. Oxford University Press, 2013 (416 pp).

- Participants up

Endtmayer Bernhard
Gobrial Mario
Jodlbauer Daniel
Mitter Ludwig
Pistrich Mario
Schafelner Andreas

- General Remarks up