Subject: 2007 Summer School on Adaptive Algorithm

　 　
1.Introduction

The summer school aims an introduction to adaptive finite element methods with emphasis on a posteriori energy error analysis and on goal-oriented adaptive mesh-refinement. The audience needs some basic knowledge of partial differential equations, functional analysis, finite elements while the a posteriori error analysis and the design of adaptive algorithms will be introduced during the one week of lectures. The tutorials are designed to give an introduction into the adaptive finite element method and its MATLAB implementation to allow for numerical experiments run by the participants.

This summer school will be held at Institute of Computational Mathematics, CAS.

2. Lecturers:

Prof. Dr. Carsten Carstensen
Department of Mathematics
Humboldt-Universitat zu Berlin
Unter den Linden 6
D-10099 Berlin, Germany

Prof. Dr. Rolf Rannacher
Ruprecht-Karls-Universitat Heidelberg
Institut für Angewandte Mathematik
Im Neuenheimer Feld 293
69120 Heidelberg, Germany

3. Schedule:

Timing:
two lectures each morning: 09:00-10:30 and 11:00-12:30
two sessions each afternoon: 14:00-15:30 and 16:00-17:30
plus free time for computer work during the evenings.

Wednesday (10. 3)
C1 Finite Element Methods (FEM),
a priori analysis, residuum and error estimators
C2 Explicit residual-based error control

Thursday (10. 4)
C3 A posteriori energy error analyis
R1 Dual weighted residual method

Friday (10. 5)
R2 Application to Nonlinear Problems
C4 Adaptive Finite Element Method (AFEM)

Saturday (10. 6)
C5 Convergence Analysis of AFEM
R3 Application to Fluid Mechanics

Sunday (10. 7)
R4 Model Adaptivity
R5 Application in Optimal Control
　
4. Application Form:

Please download it at http://lsec.cc.ac.cn/~ssaa07/

5. Contact:

Li Jing (Ms.)

lijing@icmsec.cc.ac.cn

Summer school webpage:

http://lsec.cc.ac.cn/~ssaa07/