@Article{IJNAM-16-4, author = {Jahromi, Fakharzadeh, Alireza and Hajar, Alimorad}, title = {A Review of Theoretical Measure Approaches in Optimal Shape Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2019}, volume = {16}, number = {4}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/2019-IJNAM-13014}, url = {https://global-sci.com/article/83076/a-review-of-theoretical-measure-approaches-in-optimal-shape-problems} }