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.

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Publication Details

Journal
Moscow University Physics Bulletin
Published
2025-04-01
DOI
https://doi.org/10.3103/s0027134925700262
Primary Topic
Advanced Materials and Mechanics
Type
article
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article

Generation of Triangular Meshes Using Potential Energy Minimization Method

Tamara A. Novikova, Konstantin Novikov, D. A. Konyaev
Moscow University Physics Bulletin
Advanced Materials and Mechanics
article

Generation of Triangular Meshes Using Potential Energy Minimization Method

Tamara A. Novikova, Konstantin Novikov, D. A. Konyaev
article en

Abstract

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.

Moscow University Physics BulletinVol. 80(2)
Lomonosov Moscow State University (RU), Udmurt State University (RU)
Affordable and clean energy
Openalex Percentile: Top 83%
Advanced Materials and Mechanics
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