Volume 16, Issue 4
A Review of Theoretical Measure Approaches in Optimal Shape Problems

Alireza Fakharzadeh Jahromi and Hajar Alimorad

Int. J. Numer. Anal. Mod., 16 (2019), pp. 543-574.

Preview Full PDF BiBTex 79 546
  • 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.

  • History

Published online: 2019-02

  • AMS Subject Headings

49M20, 49J20, 90C90, 49M25

  • Cited by