LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD
Localization of solution of the problem of three-dimensional theory of elasticity with the use of B-spline discrete-continual finite element method (specific version of wavelet-based discrete-continual finite ele-ment method) is under consideration in the distinctive paper. The original operational...
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| Format: | Article |
| Language: | English |
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Publishing House ASV
2023-09-01
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| Series: | International Journal for Computational Civil and Structural Engineering |
| Subjects: | |
| Online Access: | https://ijccse.iasv.ru/index.php/ijccse/article/view/704 |
| _version_ | 1797665240627806208 |
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| author | Marina Mozgaleva Pavel Akimov |
| author_facet | Marina Mozgaleva Pavel Akimov |
| author_sort | Marina Mozgaleva |
| collection | DOAJ |
| description |
Localization of solution of the problem of three-dimensional theory of elasticity with the use of B-spline discrete-continual finite element method (specific version of wavelet-based discrete-continual finite ele-ment method) is under consideration in the distinctive paper. The original operational continual and discrete-continual formulations of the problem are given, some actual aspects of construction of normalized basis func-tions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finite element are described, some information about the numerical implementation and an example of analysis are presented.
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| first_indexed | 2024-03-11T19:41:06Z |
| format | Article |
| id | doaj.art-fd0cd4f739684800b9436562e3f54769 |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-03-11T19:41:06Z |
| publishDate | 2023-09-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-fd0cd4f739684800b9436562e3f547692023-10-06T10:39:31ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952023-09-0119310.22337/2587-9618-2023-19-3-155-164LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHODMarina Mozgaleva0Pavel Akimov1National Research Moscow State University of Civil Engineering, Moscow, RUSSIANational Research Moscow State University of Civil Engineering, Moscow, RUSSIA Localization of solution of the problem of three-dimensional theory of elasticity with the use of B-spline discrete-continual finite element method (specific version of wavelet-based discrete-continual finite ele-ment method) is under consideration in the distinctive paper. The original operational continual and discrete-continual formulations of the problem are given, some actual aspects of construction of normalized basis func-tions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finite element are described, some information about the numerical implementation and an example of analysis are presented. https://ijccse.iasv.ru/index.php/ijccse/article/view/704localization, wavelet-based discrete-continual finite element method, B-spline discrete-continual finite element method, discrete-continual finite element method, finite element method, B-spline, numerical solution, three-dimensional theory of elasticity, structural analysis |
| spellingShingle | Marina Mozgaleva Pavel Akimov LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD International Journal for Computational Civil and Structural Engineering localization, wavelet-based discrete-continual finite element method, B-spline discrete-continual finite element method, discrete-continual finite element method, finite element method, B-spline, numerical solution, three-dimensional theory of elasticity, structural analysis |
| title | LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_full | LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_fullStr | LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_full_unstemmed | LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_short | LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_sort | localization of solution of the problem of three dimensional theory of elasticity with the use of b spline discrete continual finite element method |
| topic | localization, wavelet-based discrete-continual finite element method, B-spline discrete-continual finite element method, discrete-continual finite element method, finite element method, B-spline, numerical solution, three-dimensional theory of elasticity, structural analysis |
| url | https://ijccse.iasv.ru/index.php/ijccse/article/view/704 |
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