Shape Optimization and Free Boundaries
By: edited by Michel C. Delfour, Gert Sabidussi
Contributors: Sabidussi, Gert
Series: NATO ASI Series, C: Mathematical and Physical Sciences, 1389-2185 -- 380; NATO ASI Series, C: Mathematical and Physical Sciences -- 380.
Publisher: Springer Netherlands
Published: 1992
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 480
ISBN-13: 9789401127103
Subjects: Mechanics; Mathematics; Mathematical optimization
Other titles: Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques supérieures, Montreal, Canada, June 25-July 13, 1990
Description: Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc.<br/> Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc.<br/> The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems. <br/>