Analytical modelling of perforated geometrical domains by the R-functions

This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plo...

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Main Author: Yuriy Semerich
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2020-07-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/11174
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spelling doaj-e5a561526b9b4b0d87dda4307b1ae09c2021-07-02T12:22:43ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102020-07-0125310.3846/mma.2020.11174Analytical modelling of perforated geometrical domains by the R-functionsYuriy Semerich0Limited Liability Company Budgeting and Financial Technologies, Pushkina str. 2, 440008, Penza, Russia This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plots are obtained. https://journals.vgtu.lt/index.php/MMA/article/view/11174perforated domainR-functionsR-operationsboundary equation of domain
collection DOAJ
language English
format Article
sources DOAJ
author Yuriy Semerich
spellingShingle Yuriy Semerich
Analytical modelling of perforated geometrical domains by the R-functions
Mathematical Modelling and Analysis
perforated domain
R-functions
R-operations
boundary equation of domain
author_facet Yuriy Semerich
author_sort Yuriy Semerich
title Analytical modelling of perforated geometrical domains by the R-functions
title_short Analytical modelling of perforated geometrical domains by the R-functions
title_full Analytical modelling of perforated geometrical domains by the R-functions
title_fullStr Analytical modelling of perforated geometrical domains by the R-functions
title_full_unstemmed Analytical modelling of perforated geometrical domains by the R-functions
title_sort analytical modelling of perforated geometrical domains by the r-functions
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2020-07-01
description This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plots are obtained.
topic perforated domain
R-functions
R-operations
boundary equation of domain
url https://journals.vgtu.lt/index.php/MMA/article/view/11174
work_keys_str_mv AT yuriysemerich analyticalmodellingofperforatedgeometricaldomainsbytherfunctions
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