CIMPA Lecturer 2: Dr. Michael Hintermueller

(Photo Source: http://math.uni-graz.at/hintermueller/)

CIMPA-IMAMIS-Philippines School on Numerical Methods for Partial Differential Equations
27 August - 7 September 2007
Ateneo de Manila University, Quezon City, Philippines
Hosted by: Mathematics Department, Ateneo de Manila University

Lecturer: Michael Hintermueller, Ph.D.
Affiliation: Department of Mathematics and Scientific Computing, University of Graz, Austria
E-mail: michael.hintermueler@uni-graz.at

Topic: Mathematical programs with complementarity constraints (MPCCs) in function space

Outline:

1. Introduction

2. The finite dimensional case:
a. Problem statement (mPECs, MPCCs)
b. Lack of constraint regularity and potential dangers
c. Applications
d. A view on first order necessary conditions
- weak staionarity
- M-stationarity
- B-stationarity
- strong stationarity

3. MPCCs in function space
a. Problem statement
b. Some differences to the finite dimesional case
c. Special case: Bilebel problems
- First order necessary conditions
i. penalization
ii. regularization
iii. passage to the limit
d. A more general case
- First order necessary conditions
i. A relazation and regularization technique
ii. Relaxed first order conditions
iii. Passage to thelimit

4. Solution algorithms
a. Review of finite dimensional approaches
- Implicit programming
- Piecewise sequential quadratic programming
- Interior techniques
b. Methods in function space
- Bi-level case
- General case
c. Some results


Raffy
The Pisay '77 Blogger
8/28/07