Year: 2019
Author: Alireza Fakharzadeh Jahromi, Hajar Alimorad
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 4 : pp. 543–574
Abstract
Some optimal shape design problems lack classical solutions, or at least, the existence of such solutions is far from being straightforward. In such cases, to obtain an optimal solution, a variety of methods have been employed. In this study, we review the works that used measures which can basically be divided in two groups: using Young measures and embedding process (Shape-measure method). We also survey the advantages and disadvantages of these two methods and investigate their improved version in the presented works and applications.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-13014
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 4 : pp. 543–574
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: Young measure radon measure atomic measure optimal shape shape-measure linear programming problem relaxed problem.