{"title":"基于势能最小化法的三角网格生成","authors":"K. A. Novikov, D. A. Konyaev, T. A. Novikova","doi":"10.3103/S0027134925700262","DOIUrl":null,"url":null,"abstract":"<p>An analysis of the molecular dynamics method for node placement in the construction of unstructured meshes is presented. A method for its improvement is considered. An energy-based approach to the problem of triangular mesh node placement on a surface is proposed, which is based on the idea of finding the minimum potential energy of a system of charges using the gradient descent method.</p>","PeriodicalId":711,"journal":{"name":"Moscow University Physics Bulletin","volume":"80 2","pages":"236 - 243"},"PeriodicalIF":0.4000,"publicationDate":"2025-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generation of Triangular Meshes Using Potential Energy Minimization Method\",\"authors\":\"K. A. Novikov, D. A. Konyaev, T. A. Novikova\",\"doi\":\"10.3103/S0027134925700262\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>An analysis of the molecular dynamics method for node placement in the construction of unstructured meshes is presented. A method for its improvement is considered. An energy-based approach to the problem of triangular mesh node placement on a surface is proposed, which is based on the idea of finding the minimum potential energy of a system of charges using the gradient descent method.</p>\",\"PeriodicalId\":711,\"journal\":{\"name\":\"Moscow University Physics Bulletin\",\"volume\":\"80 2\",\"pages\":\"236 - 243\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-07-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Physics Bulletin\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0027134925700262\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Physics Bulletin","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S0027134925700262","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Generation of Triangular Meshes Using Potential Energy Minimization Method
An analysis of the molecular dynamics method for node placement in the construction of unstructured meshes is presented. A method for its improvement is considered. An energy-based approach to the problem of triangular mesh node placement on a surface is proposed, which is based on the idea of finding the minimum potential energy of a system of charges using the gradient descent method.
期刊介绍:
Moscow University Physics Bulletin publishes original papers (reviews, articles, and brief communications) in the following fields of experimental and theoretical physics: theoretical and mathematical physics; physics of nuclei and elementary particles; radiophysics, electronics, acoustics; optics and spectroscopy; laser physics; condensed matter physics; chemical physics, physical kinetics, and plasma physics; biophysics and medical physics; astronomy, astrophysics, and cosmology; physics of the Earth’s, atmosphere, and hydrosphere.