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Matematicheskoe modelirovanie, 2016, Volume 28, Number 10, Pages 33–39 (Mi mm3775)  
This article is cited in 1 scientific paper (total in 1 paper)

Grinding of triangular mesh in the problem of biharmonic optimization of complex surfaces

A. V. Smurygin

Physicotechnical Institute, Ural Branch of the Russian Academy of Sciences, Izhevsk
Full-text PDF (382 kB) Citations (1)
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Abstract: The paper proposes the method of grinding of a triangular mesh for biharmonic optimization of surfaces. The method provides an approximate equality of the lengths of edges of the grid. Splitting of triangles is based on the properties of the inscribed circle. Issues of the quality of triangles, Delaunay condition are considered.
Keywords: surface, simplicial scheme, grinding of triangular mesh, biharmonic optimization, quality of triangles, Delaunay condition.
Received: 25.11.2015
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 3, Pages 377–382
DOI: https://doi.org/10.1134/S2070048217030127
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Smurygin, “Grinding of triangular mesh in the problem of biharmonic optimization of complex surfaces”, Mat. Model., 28:10 (2016), 33–39; Math. Models Comput. Simul., 9:3 (2017), 377–382
Citation in format AMSBIB
\Bibitem{Smu16}
\by A.~V.~Smurygin
\paper Grinding of triangular mesh in the problem of biharmonic optimization of complex surfaces
\jour Mat. Model.
\yr 2016
\vol 28
\issue 10
\pages 33--39
\mathnet{http://mi.mathnet.ru/mm3775}
\elib{https://elibrary.ru/item.asp?id=28119111}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 3
\pages 377--382
\crossref{https://doi.org/10.1134/S2070048217030127}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85020225139}
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  • https://www.mathnet.ru/eng/mm3775
  • https://www.mathnet.ru/eng/mm/v28/i10/p33
    • This publication is cited in the following 1 articles:
    1. H.-Q. Chen, Q.-H. Wang, “Modeling and simulation of the surface topography in ball-end milling based on biharmonic spline interpolation”, Int. J. Adv. Manuf. Technol., 99:9-12, SI (2018), 2451–2466  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    Abstract page:227
    Full-text PDF :105
    References:73
    First page:1
     
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