A new approach for solving the obstacle problems in three-dimensions
Optik, ISSN: 0030-4026, Vol: 276, Page: 170646
2023
- 1Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations1
- Citation Indexes1
Article Description
The aim of this paper is to propose an approach to find an optimal surface with a given image in the cylindrical coordinate so that it overcomes the given obstacles. In addition, several circumstances, such as the symmetry or asymmetry of the surface are also considered. For this aim, the obstacle is described by variational inequalities and the problem is expressed as an optimal control problem by introducing artificial controls. Next, considering a variational presentation and applying an embedding procedure, the problem is transferred into one whose unknown is an optimal Radon measure. Hence, the shape design problem is changed into an infinite linear one whose solution is guaranteed. Then, for each given domain, two stages of approximation is used to find the optimal surface. Finally, the nearly optimal solution of original problem is constructed via a finite linear programming whose smoothness is improved by applying outlier detection and smooth fitting. Numerical examples are presented and the results are compared.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0030402623001420; http://dx.doi.org/10.1016/j.ijleo.2023.170646; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85148040637&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0030402623001420; https://dx.doi.org/10.1016/j.ijleo.2023.170646
Elsevier BV
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