---
_id: '15296'
abstract:
- lang: eng
  text: 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.
article_number: '080002'
article_processing_charge: No
author:
- first_name: Mariana
  full_name: Lopushanski, Mariana
  last_name: Lopushanski
- first_name: Grigory
  full_name: Ivanov, Grigory
  id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E
  last_name: Ivanov
citation:
  ama: 'Lopushanski M, Ivanov G. A constructive algorithm for building rectifiable
    curves in weakly convex sets. In: <i>AIP Conference Proceedings</i>. Vol 3030.
    AIP Publishing; 2024. doi:<a href="https://doi.org/10.1063/5.0195908">10.1063/5.0195908</a>'
  apa: 'Lopushanski, M., &#38; Ivanov, G. (2024). A constructive algorithm for building
    rectifiable curves in weakly convex sets. In <i>AIP Conference Proceedings</i>
    (Vol. 3030). Virtual: AIP Publishing. <a href="https://doi.org/10.1063/5.0195908">https://doi.org/10.1063/5.0195908</a>'
  chicago: Lopushanski, Mariana, and Grigory Ivanov. “A Constructive Algorithm for
    Building Rectifiable Curves in Weakly Convex Sets.” In <i>AIP Conference Proceedings</i>,
    Vol. 3030. AIP Publishing, 2024. <a href="https://doi.org/10.1063/5.0195908">https://doi.org/10.1063/5.0195908</a>.
  ieee: M. Lopushanski and G. Ivanov, “A constructive algorithm for building rectifiable
    curves in weakly convex sets,” in <i>AIP Conference Proceedings</i>, Virtual,
    2024, vol. 3030, no. 1.
  ista: '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.'
  mla: Lopushanski, Mariana, and Grigory Ivanov. “A Constructive Algorithm for Building
    Rectifiable Curves in Weakly Convex Sets.” <i>AIP Conference Proceedings</i>,
    vol. 3030, no. 1, 080002, AIP Publishing, 2024, doi:<a href="https://doi.org/10.1063/5.0195908">10.1063/5.0195908</a>.
  short: M. Lopushanski, G. Ivanov, in:, AIP Conference Proceedings, AIP Publishing,
    2024.
conference:
  end_date: 2022-10-29
  location: Virtual
  name: 'ICCMSE: International Conference of Computational Methods in Sciences and
    Engiineering'
  start_date: 2022-10-26
date_created: 2024-04-07T22:00:55Z
date_published: 2024-03-14T00:00:00Z
date_updated: 2024-04-08T07:40:53Z
day: '14'
department:
- _id: UlWa
doi: 10.1063/5.0195908
fulldoi: https://doi.org/10.1063/5.0195908
intvolume: '      3030'
issue: '1'
language:
- iso: eng
month: '03'
oa_version: None
publication: AIP Conference Proceedings
publication_identifier:
  eissn:
  - 1551-7616
  issn:
  - 0094-243X
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: A constructive algorithm for building rectifiable curves in weakly convex sets
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3030
year: '2024'
...