{"issue":"1","date_created":"2024-04-07T22:00:55Z","title":"A constructive algorithm for building rectifiable curves in weakly convex sets","department":[{"_id":"UlWa"}],"_id":"15296","abstract":[{"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.","lang":"eng"}],"scopus_import":"1","publication_status":"published","citation":{"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>","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.","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>.","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>","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.","short":"M. Lopushanski, G. Ivanov, in:, AIP Conference Proceedings, AIP Publishing, 2024.","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>."},"conference":{"name":"ICCMSE: International Conference of Computational Methods in Sciences and Engiineering","start_date":"2022-10-26","end_date":"2022-10-29","location":"Virtual"},"author":[{"last_name":"Lopushanski","full_name":"Lopushanski, Mariana","first_name":"Mariana"},{"full_name":"Ivanov, Grigory","first_name":"Grigory","last_name":"Ivanov","id":"87744F66-5C6F-11EA-AFE0-D16B3DDC885E"}],"publisher":"AIP Publishing","volume":3030,"intvolume":"      3030","status":"public","doi":"10.1063/5.0195908","oa_version":"None","article_number":"080002","publication":"AIP Conference Proceedings","type":"conference","language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","date_published":"2024-03-14T00:00:00Z","day":"14","article_processing_charge":"No","date_updated":"2024-04-08T07:40:53Z","publication_identifier":{"eissn":["1551-7616"],"issn":["0094-243X"]},"year":"2024","month":"03"}