Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas
While carrying out work to ensure the technical safety of buildings and structures in the Arctic regions, one of the important stages is geodetic monitoring. Provided that the complexity of ensuring the stability of reference points in the Arctic zone when conducting geodetic monitoring of engineeri...
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ftdoajarticles:oai:doaj.org/article:67e2aa1482274277804397ac20b191d3 2023-06-11T04:08:46+02:00 Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas Shevchenko Grittel Bryn Mikhail Bushuev Nikolay 2023-01-01T00:00:00Z https://doi.org/10.1051/e3sconf/202338302009 https://doaj.org/article/67e2aa1482274277804397ac20b191d3 EN FR eng fre EDP Sciences https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/20/e3sconf_tt21c2023_02009.pdf https://doaj.org/toc/2267-1242 2267-1242 doi:10.1051/e3sconf/202338302009 https://doaj.org/article/67e2aa1482274277804397ac20b191d3 E3S Web of Conferences, Vol 383, p 02009 (2023) geodesic monitoring search method free network matrix inversion pseudo-inversion Environmental sciences GE1-350 article 2023 ftdoajarticles https://doi.org/10.1051/e3sconf/202338302009 2023-05-07T00:35:08Z While carrying out work to ensure the technical safety of buildings and structures in the Arctic regions, one of the important stages is geodetic monitoring. Provided that the complexity of ensuring the stability of reference points in the Arctic zone when conducting geodetic monitoring of engineering facilities, geodetic networks should preferably be equated as free, i.e., to equate the reference points on a par with the defined ones. The present article provides variants how to to equalize geodetic networks to carry out a search method of non-linear programming, which is given a theoretical substantiation for the method and the order of estimating accuracy of the outcomes of the equalization of the generalized Makarov method. The procedure of pseudo transformation of a matrix of normal equations of unknowns with the application of an algorithm of a search method of nonlinear programming is given. The correctness of the application of the search method to the pseudo transformation of a matrix of normal equations of unknowns by the coincidence of outcomes of the pseudo transformation of the given matrix based on skeleton expansion done in M. Mashimov's work is proved. Equalization and estimation of accuracy of free leveling network with the application of search method and generalized Makarov's method are carried out. The conclusion about the correctness of the application of a search method of nonlinear programming for the processing of free geodetic networks at the performance of geodetic monitoring of buildings and constructions in the Arctic area is made. Article in Journal/Newspaper Arctic Directory of Open Access Journals: DOAJ Articles Arctic E3S Web of Conferences 383 02009 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English French |
topic |
geodesic monitoring search method free network matrix inversion pseudo-inversion Environmental sciences GE1-350 |
spellingShingle |
geodesic monitoring search method free network matrix inversion pseudo-inversion Environmental sciences GE1-350 Shevchenko Grittel Bryn Mikhail Bushuev Nikolay Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas |
topic_facet |
geodesic monitoring search method free network matrix inversion pseudo-inversion Environmental sciences GE1-350 |
description |
While carrying out work to ensure the technical safety of buildings and structures in the Arctic regions, one of the important stages is geodetic monitoring. Provided that the complexity of ensuring the stability of reference points in the Arctic zone when conducting geodetic monitoring of engineering facilities, geodetic networks should preferably be equated as free, i.e., to equate the reference points on a par with the defined ones. The present article provides variants how to to equalize geodetic networks to carry out a search method of non-linear programming, which is given a theoretical substantiation for the method and the order of estimating accuracy of the outcomes of the equalization of the generalized Makarov method. The procedure of pseudo transformation of a matrix of normal equations of unknowns with the application of an algorithm of a search method of nonlinear programming is given. The correctness of the application of the search method to the pseudo transformation of a matrix of normal equations of unknowns by the coincidence of outcomes of the pseudo transformation of the given matrix based on skeleton expansion done in M. Mashimov's work is proved. Equalization and estimation of accuracy of free leveling network with the application of search method and generalized Makarov's method are carried out. The conclusion about the correctness of the application of a search method of nonlinear programming for the processing of free geodetic networks at the performance of geodetic monitoring of buildings and constructions in the Arctic area is made. |
format |
Article in Journal/Newspaper |
author |
Shevchenko Grittel Bryn Mikhail Bushuev Nikolay |
author_facet |
Shevchenko Grittel Bryn Mikhail Bushuev Nikolay |
author_sort |
Shevchenko Grittel |
title |
Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas |
title_short |
Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas |
title_full |
Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas |
title_fullStr |
Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas |
title_full_unstemmed |
Equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas |
title_sort |
equalization of free geodetic networks by search methods for geodetic monitoring of structures in arctic areas |
publisher |
EDP Sciences |
publishDate |
2023 |
url |
https://doi.org/10.1051/e3sconf/202338302009 https://doaj.org/article/67e2aa1482274277804397ac20b191d3 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
E3S Web of Conferences, Vol 383, p 02009 (2023) |
op_relation |
https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/20/e3sconf_tt21c2023_02009.pdf https://doaj.org/toc/2267-1242 2267-1242 doi:10.1051/e3sconf/202338302009 https://doaj.org/article/67e2aa1482274277804397ac20b191d3 |
op_doi |
https://doi.org/10.1051/e3sconf/202338302009 |
container_title |
E3S Web of Conferences |
container_volume |
383 |
container_start_page |
02009 |
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1768382263018389504 |