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A Shape Optimization Algorithm for Interface Identification Allowing Topological Changes.
- Source :
- Journal of Optimization Theory & Applications; May2018, Vol. 177 Issue 2, p306-328, 23p
- Publication Year :
- 2018
-
Abstract
- In this work, we investigate a combination of classical optimization techniques from optimal control and a rounding strategy based on shape optimization for interface identification for problems constrained by partial differential equations. The goal is to identify the location of pollution sources in a fluid flow represented by a control that is either active or inactive. We use a relaxation of the binary problem on a coarse grid as initial guess for the shape optimization with higher resolution. The result is a computationally cheap method, where large shape deformations do not have to be performed. We demonstrate that our algorithm is, moreover, able to change the topology of the initial guess. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 177
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 129593750
- Full Text :
- https://doi.org/10.1007/s10957-018-1279-4