Seminar on Numerical Analysis | letzte Änderung: 2021-09-30 |
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Seminar on Numerical Analysis
Space-Time Methods for PDEs
(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, 2016-10-11, 13:45 - 15:15 Uhr, Room: S2 059
Time, room, seminar, student, supervisor:
| Tue, 2016-10-11 | 13:45 - 15:15 Room: S2 059 | Introduction | Langer | |
| Tue, 2016-10-18 | 13:45 - 15:15 Room: S2 059 | Consultations | ||
| Tue, 2016-10-25 | 13:45 - 15:15 Room: S2 059 | Seminar 01 | Endtmayer | Gfrerer |
| Tue, 2016-11-01 | Holiday (Allerheiligen) | |||
| Tue, 2016-11-08 | 13:45 - 15:15 Room: S2 059 | Workshop on Space-Time Methods | ||
| Tue, 2016-11-15 | 13:45 - 15:15 Room: S2 059 | Seminar 02 | Schafelner | Langer |
| Tue, 2016-11-22 | 13:45 - 15:15 Room: S2 059 | Seminar 03 | Rafetseder | Zulehner |
| Tue, 2016-11-29 | 13:45 - 15:15 Room: S2 059 | Seminar 04 | Hofer | Zulehner |
| Tue, 2016-12-06 | 13:45 - 15:15 Room: S2 059 | School on SPDEs | ||
| Tue, 2016-12-13 | 13:45 - 15:15 Room: S2 059 | Seminar 05/06 | Endtmayer, Faghfouri, Scholz | Langer |
| Tue, 2017-01-10 | 13:45 - 15:15 Room: S2 059 | Seminar 07 | Schafelner | Langer |
| Tue, 2017-01-17 | 13:45 - 15:15 Room: S2 059 | Seminar 08 | Jodlbauer | Neumüller |
| Tue, 2017-01-24 | 13:45 - 15:15 Room: S2 059 | Seminar 09 | Faghfouri, Scholz | Langer |
| Tue, 2017-01-31 | 13:45 - 15:15 Room: S2 059 | Seminar 10 | Hofer, Rafetseder | Zulehner |
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Seminar Topics | up |
| Introduction: | 2016-10-11 Introduction by U. Langer |
| Seminar 01: | 2016-10-25 Title: First Initial-Boundary Value Problem for the Heat Equation Literature: [1], pp. 108 - 115 Supervisor: H. Gfrerer Student: B. Endtmayer |
| Seminar 02: | 2016-11-15 Title: First Initial-Boundary Value Problem for General Parabolic Equations Literature: [1], pp. 115 - 121 Supervisor: U. Langer Student: A. Schafelner |
| Seminar 03: | 2016-11-22 Title: The First Initial-Boundary Value Problem for Hyperbolic Equations Literature: [1], pp. 156 - 161 Supervisor: W. Zulehner Student: K. Rafetseder |
| Seminar 04: | 2016-11-29 Title: Space-time finite element methods for elastodynamics: formulation and error estimates Literature: [2] Supervisor: W. Zulehner Student: C. Hofer |
| Seminar 05/06: | 2016-12-13 Title: A Space-Time Petrov-Galerkin method for linear wave equations Title: A Space-Time Petrov-Galerkin method for linear wave equations following Title: A Space-Time Petrov-Galerkin method for linear wave equations - Talk No. 2 Literature: [3] Additional literature: [4] Supervisor: U. Langer Students: B. Endtmayer, S. Faghfouri, F. Scholz |
| Seminar 07: | 2017-01-10 Title: Spacetime finite element methods for parabolic problems Literature: [5] Supervisor: U. Langer Student: A. Schafelner |
| Seminar 08: | 2017-01-17 Title: dG spacetime methods for parabolic problems Literature: [6], pp. 5 - 33 Supervisor: M. Neumüller Student: D. Jodlbauer |
| Seminar 09: | 2017-01-24 Title: Stability of Petrov-Galerkin discretizations: Application to the space-time weak formulation for parabolic evolution problems Title: Stability of Petrov-Galerkin discretizations: Application to the space-time weak formulation for parabolic equations - Talk No. 2 Literature: [7] Supervisor: U. Langer Students: S. Faghfouri, F. Scholz |
| Seminar 10: | 2017-01-31 Title: Spacetime adaptive wavelet methods for parabolic evolution problems Title: An overview of discretizations for space time methods Literature: [8] Supervisor: W. Zulehner Students: C. Hofer, K. Rafetseder |
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Literature | up |
[2] T.J.R. Hughes, G.M. Hulbert. Space-time finite element methods for elastodynamics: formulation and error estimates. Computer Methods in Applied Mechanics and Engineering, 66 (1988) 339-363.
[3] C. Wieners. A Space-Time Petrov-Galerkin method for linear wave equations. Summer School, Zurich 2016, available at http://www.math.kit.edu/user/~wieners/SpaceTimeWave.pdf
[4] W. Dörfler, S. Findeisen, C. Wieners: Space-time discontinuous galerkin discretizations for linear first-order hyperbolic evolution systems. Comput. Methods Appl. Math., 16(3):409428, 2016.
[5] O. Steinbach: Spacetime finite element methods for parabolic problems. Comput. Methods Appl. Math., 15, 551-566, 2015.
[6] M. Neumüller. Space-Time Methods: Fast Solvers and Applications. Dissertation, Graz University of Technology, June 2013.
[7] C. Mollet. Stability of Petrov-Galerkin discretizations: Application to the space-time weak formulation for parabolic evolution problems, CMAM, 2014.
[8] C. Schwab, R. Stevenson: Spacetime adaptive wavelet methods for parabolic evolution problems. Math. Comput., 78, 12931318, 2009.
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Participants | up |
Endtmayer Bernhard
Faghfouri Sahar
Gangl Peter
Hofer Christoph
Jodlbauer Daniel
Rafetseder Katharina
Schafelner Andreas
Scholz Felix
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General Remarks | up |
