21. - 23. November 2003
Multigrid Course - Introduction to Standard Methods
The Course: This course results from several lecture series Algorithms I/II. At the end of the course even beginners without numerical experience will be able to write standard MG programs for model problems. This is possible by an appropriate mixture of heuristics and exactness combined with theory and practice. This concept proved to be successful by the previous courses since 1996.
Target Group: Everybody who is interested in numerical methods may use this course to start with multilevel algorithms. Students with mathematical or technical interest from universities and Fachhochschulen are encouraged to visit the course.
Mathematical Prerequisite: A basic knowledge of numerical analysis is helpful, including standard discretization techniques for partial differential equations (finite differences and similar approaches on cartesian grids), and a general familiarity with iterative solvers for large systems of equations.
W. Joppich, FhG-SCAI
Program:
| Friday 21.11.03 | |
| 14:00 - 14:45 | Registration |
| 14:45 - 15:00 | Welcome, History and Development of Multigrid Methods |
| 15:00 - 16:30 | Basic Principles |
| - Analysis of Relaxation Methods, Coarse Grid Correction, Correction Scheme | |
| 16:30 - 17:00 | Coffee Break |
| 17:00 - 18:30 | Components of the Multigrid Method |
| - Discretization and Grids, Relaxation (Smoothing), Coarsening Strategies, Coarse Grid Operators, Cycles, Grid Transfer | |
| 18:30 | - open Programming |
| Saturday 22.11.03 | |
| 9:00 - 10:30 | Full Approximation Scheme (FAS), Full Multigrid (FMG) |
| 10:30 - 11:00 | Coffee Break |
| 11:00 - 12:30 | Local Refinements (MLAT) |
| - Adaptive Grids, Refinement Criteria, Estimation of the Discretization Error | |
| 12:30 - 14:00 | Lunch Break |
| 14:00 - 15:30 | Parabolic Problems |
| - Implicit Time Discretization, Direct and Indirect MG | |
| 15:30 - 16:00 | Coffee Break |
| 16:00 - 17:30 | Local Analysis |
| - Smoothing Analysis, Two Grid Analysis Aspects of Parallel Multigrid | |
| 17:30 - 19:00 | Programming |
| Sunday 23.11.03 | |
| 9:00 - 10:30 | Presentation of selected Multigrid Programs |
| 10:30 - 11:00 | Coffee Break |
| 11:00 - 12:30 | Programming, Discussion |
| 12:30 | End of the Course |
Secretariat: Conference and Software Consulting, Ms Karin Joppich, Weilbergstraße 16, D-53639 Königswinter, Phone +49 (0) 2244 80098, Fax +49 (0) 2244 872279, e-mail
csjoppich@aol.com
Location: FhG, Schloss Birlinghoven, Sankt Augustin; C3-T36.
Accomodation: Rooms have been reserved for participants in Hotels close to the campus. The reservation in these hotels will be organized if the subscription has been received before end of October 2003. The price per night, including breakfast, is 60 Euro for a single room (85 Euro for a two-bed room). Further information after course subscription.
Number of Participants: The maximum number of participants is about 15. The sequence of subscription decides on participation.
Course Fee: 250 Euro, includes course material (CD-ROM of the course, copies of transparencies, preprints, recent publications, if asked for Grundlagen der Mehrgittermethode - eine Einführung in die Standardverfahren), refreshments during coffee breaks, lunch on Saturday and sandwiches at Saturday evening. On receiving your subscription form you will get a confirmation, additional information and an invoice. The amount due is to reach us two weeks before the first day of the course or has to be paid at registration (cash, no credit card accepted).
Subscription: Use the attached form and give the requested additional information, if possible. For further information please contact the secretariat or
Wolfgang.Joppich@scai.fraunhofer.de
Cancellation: Cancellations received earlier than two weeks before the first day of the course will be reimbursed less 25 Euro administration charge. No reimbursement of the subscription fee will be made for cancellations received later, unless the participant provides a replacement. If for any reason the course will not take place, the subscription fee will be returned in full. Further claims for compensation are excluded.
Subscription form - Multigrid Course, 21. - 23. November 2003
Download Subscription form (PDF 24,1 kb)
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Conference and Software Consulting
Ms Karin Joppich
Weilbergstraße 16
D-53639 Königswinter
Germany
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