Seminar aus der Numerik: Methodenseminar | letzte Änderung: 2021-10-01 |
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Seminar aus der Numerik:
Interpolation Spaces and Applications in Numerical Analysis
(LVA Nr. 327.050, 2 Wochenstunden, ab Semester 5)Seminarleiter: A.Univ.-Prof. Dr. Helmut Gfrerer
O.Univ.-Prof. Dr. Ulrich Langer
A.Univ.-Prof. Dr. Walter Zulehner
Beginn der Lehrveranstaltung: Di, 2010-10-05, 13:45 - 15:15 Uhr, Raum: T 211
Zeit, Raum, Seminar, StudentIn, Leiter:
| Di, 2010-10-05 | 13:45 - 15:15 Raum: T 211 | Einführung | ||
| Di, 2010-10-12 | 13:45 - 15:15 Raum: T 211 | Konsultation | ||
| Di, 2010-10-19 | 13:45 - 15:15 Raum: T 211 | 1. Seminar | ||
| Di, 2010-10-26 | Nationalfeiertag | |||
| Di, 2010-11-02 | Allerseelen | |||
| Di, 2010-11-09 | 13:45 - 15:15 Raum: T 211 | 2. Seminar | ||
| Di, 2010-11-16 | 13:45 - 15:15 Raum: T 211 | 3. Seminar | ||
| Di, 2010-11-23 | 13:45 - 15:15 Raum: T 211 | 4. Seminar | ||
| Di, 2010-11-30 | 13:45 - 15:15 Raum: T 211 | 5. Seminar | ||
| Di, 2010-12-07 | 13:45 - 15:15 Raum: T 211 | 6. Seminar | ||
| Di, 2010-12-14 | 13:45 - 15:15 Raum: T 211 | 7. Seminar | ||
| Di, 2011-01-11 | 13:45 - 15:15 Raum: T 211 | 8. Seminar | ||
| Di, 2011-01-18 | 13:45 - 15:15 Raum: T 211 | 9. Seminar | ||
| Di, 2011-01-25 | 13:45 - 15:15 Raum: T 211 | 10. Seminar |
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Seminaraufgaben | up |
| Introduction: | 2010-10-05 Introduction by Walter Zulehner |
| Seminar 01: | 2010-10-19 Title: Interpolation in R^n Literature: [1] Supervisor: W. Zulehner Student: Leyew, Zeleke |
| Seminar 02: | 2010-11-09 Title: K-Method: Interpolation Spaces and the interpolation theorem Literature: [4] pp. 208 - 221 Supervisor: W. Zulehner Student: Mutimbu, Vlcek |
| Seminar 03: | 2010-11-16 Title: J-Method Literature: [4] pp. 208 - 221 Supervisor: U. Langer Student: Kowalska |
| Seminar 04: | 2010-11-23 Title: The reiteration theorem and the duality theorem Literature: [4] pp. 208 - 221 and [2] Supervisor: W. Zulehner Student: Kollmann |
| Seminar 05: | 2010-11-30 Title: Alternative approaches Literature: [5] Supervisor: H. Gfrerer Student: Kolmbauer |
| Seminar 06: | 2010-12-07 Title: Finite Element Convergence Estimates Literature: [3], pp. 282 - 284 Supervisor: W. Zulehner Student: Leyew, Zeleke |
| Seminar 07: | 2010-12-14 Title: Real Interpolation of Sobolev Spaces Literature: [3], pp. 279 - 281, [7], pp. 79 - 80, 329 - 330, [10] Supervisor: U. Langer Student: Mutimbu, Vlcek |
| Seminar 08: | 2011-01-11 Title: Preconditioners for Saddle Point Problems by Interpolation Literature: [6] Supervisor: W. Zulehner Student: Kollmann |
| Seminar 09: | 2011-01-18 Title: Multilevel Representations, Space Interpolation and Preconditioning I Literature: Bramble's lecture notes, [10] Supervisor: U. Langer Student: Kowalska |
| Seminar 10: | 2011-01-25 Title: Multilevel Representations, Space Interpolation and Preconditioning II Literature: Bramble's lecture notes, [8], pp. 306 - 319, [10] Supervisor: U. Langer Student: Kolmbauer |
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Literatur | up |
[1] W.Zulehner. Interpolation in R^n
[2] J.Bergh, J.Löfström. Interpolation Spaces, An Introduction. Springer, Berlin, Heidelberg, New York (1976)
[3] S.C.Brenner, L.R.Scott. The Mathematical Theory of Finite Element Methods. Springer, New York (1994)
[4] R.A.Adams, J.J.F.Fournier. Sobolev Spaces, Second Edition. Vol. 140 in Pure and Applied Mathematics series, Elsevier (2008)
[5] J.L.Lions, E. Magenes. Non-homogeneous boundary value problems and applications, Vol 1. Springer, Berlin (1972)
[6] W. Zulehner. Non-standard norms and robust estimates for saddle point problems. Numa-Report 2010-07, pdf
[7] W. McLean. Strongly Elliptic Systems and Boundary Integral Equations. Cambridge University Press 2000
[8] O. Steinbach. Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements. Springer (2008).
[9] L.D. Mutimbu, M. Vlcek. Real Interpolation of Sobolev Spaces. Seminar-Report, JKU, Linz 2010.
[10] M. Kolmbauer, M. Kowalska. Multilevel Representations, Space Interpolation and Preconditioning. Seminar-Report, JKU, Linz 2010.
[11] L. Tartar. An Introduction to Sobolev Spaces and Interpolation Spaces. Lecture Notes of the Unione Matematica Italiana (UMI). Springer, Berlin, Heidelberg (2007).
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TeilnehmerInnen | up |
Kollmann Markus
Kolmbauer Michael
Kowalska Monika
Leyew Bahru
Mutimbu Lawrence Dzidzai
Vlcek Martin
Zeleke Abiy Dejenee
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Allgemeines | up |
