{"title":"Boundary Value Problem of Calculating Ray Characteristics of Ocean Waves Reflected from Coastline","authors":"I. A. Nosikov, A. A. Tolchennikov, M. V. Klimenko","doi":"10.1134/s0965542524030126","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A direct variational method for solving the problem of finding ocean wave rays reflected from the coastline with given positions of the source and the point of observation is considered. It is shown that the original boundary value problem can be reduced to the direct search of stationary points of the functional equal to the time of wave propagation along the ray. Information about the objective function in the area of solutions to the ray tracing problem allows us to construct a systematic procedure for finding minima, saddle points, and maxima. A feature of the proposed approach is the optimization of the ray reflection point along a given coastline.</p>","PeriodicalId":55230,"journal":{"name":"Computational Mathematics and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Mathematics and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0965542524030126","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
A direct variational method for solving the problem of finding ocean wave rays reflected from the coastline with given positions of the source and the point of observation is considered. It is shown that the original boundary value problem can be reduced to the direct search of stationary points of the functional equal to the time of wave propagation along the ray. Information about the objective function in the area of solutions to the ray tracing problem allows us to construct a systematic procedure for finding minima, saddle points, and maxima. A feature of the proposed approach is the optimization of the ray reflection point along a given coastline.
期刊介绍：
Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
