A constructive algorithm for building rectifiable curves in weakly convex sets
Lopushanski M, Ivanov G. 2024. A constructive algorithm for building rectifiable curves in weakly convex sets. AIP Conference Proceedings. ICCMSE: International Conference of Computational Methods in Sciences and Engiineering vol. 3030, 080002.
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Conference Paper
| Published
| English
Scopus indexed
Author
Lopushanski, Mariana;
Ivanov, GrigoryISTA
Department
Abstract
In this paper we build a constructive algorithm that returns a rectifiable curve that connects two points in a weakly convex set in a Hilbert space. We have proven that this algorithm converges and obtained an estimate on the curve’s length and compare the length of the curve obtained to known results.
Publishing Year
Date Published
2024-03-14
Proceedings Title
AIP Conference Proceedings
Publisher
AIP Publishing
Volume
3030
Issue
1
Article Number
080002
Conference
ICCMSE: International Conference of Computational Methods in Sciences and Engiineering
Conference Location
Virtual
Conference Date
2022-10-26 – 2022-10-29
ISSN
eISSN
IST-REx-ID
Cite this
Lopushanski M, Ivanov G. A constructive algorithm for building rectifiable curves in weakly convex sets. In: AIP Conference Proceedings. Vol 3030. AIP Publishing; 2024. doi:10.1063/5.0195908
Lopushanski, M., & Ivanov, G. (2024). A constructive algorithm for building rectifiable curves in weakly convex sets. In AIP Conference Proceedings (Vol. 3030). Virtual: AIP Publishing. https://doi.org/10.1063/5.0195908
Lopushanski, Mariana, and Grigory Ivanov. “A Constructive Algorithm for Building Rectifiable Curves in Weakly Convex Sets.” In AIP Conference Proceedings, Vol. 3030. AIP Publishing, 2024. https://doi.org/10.1063/5.0195908.
M. Lopushanski and G. Ivanov, “A constructive algorithm for building rectifiable curves in weakly convex sets,” in AIP Conference Proceedings, Virtual, 2024, vol. 3030, no. 1.
Lopushanski M, Ivanov G. 2024. A constructive algorithm for building rectifiable curves in weakly convex sets. AIP Conference Proceedings. ICCMSE: International Conference of Computational Methods in Sciences and Engiineering vol. 3030, 080002.
Lopushanski, Mariana, and Grigory Ivanov. “A Constructive Algorithm for Building Rectifiable Curves in Weakly Convex Sets.” AIP Conference Proceedings, vol. 3030, no. 1, 080002, AIP Publishing, 2024, doi:10.1063/5.0195908.
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