A relaxation approach applied to domain optimization

A domain optimization problem related to potential theory is studied by means of a relaxation approach where a concave functional on a given convex set is defined. The functional has a minimizing point that is the characteristic function of an optimal domain. As a consequence of the necessary condit...

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Bibliographic Details
Published in:SIAM journal on control and optimization 1994, Vol.32 (1), p.154-169
Main Author: GONZALEZ DE PAZ, R. B
Format: Article
Language:English
Subjects:
Applied sciences
Boundary value problems
Design optimization
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Optimization. Search problems
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Summary:A domain optimization problem related to potential theory is studied by means of a relaxation approach where a concave functional on a given convex set is defined. The functional has a minimizing point that is the characteristic function of an optimal domain. As a consequence of the necessary conditions of optimality, the domain is the solution of a free boundary value problem.
ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012990182232