LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD
Localization of solution of the problem for Poisson’s equation with the use of B-spline discrete-continual finiteelement method (specificversion of wavelet-based discrete-continual finiteelement method) is under consideration in the distinctive paper. The original operational continual and discrete-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House ASV
2021-09-01
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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/406 |
| _version_ | 1818822093355089920 |
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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 for Poisson’s equation with the use of B-spline discrete-continual finiteelement method (specificversion of wavelet-based discrete-continual finiteelement 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 functions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finiteelement are described, some information about the numerical implementation and an example of analysis are presented. |
| first_indexed | 2024-12-18T23:18:36Z |
| format | Article |
| id | doaj.art-3451580ddaae47d9be253c33a435fd39 |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-12-18T23:18:36Z |
| publishDate | 2021-09-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-3451580ddaae47d9be253c33a435fd392022-12-21T20:48:05ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952021-09-0117310.22337/2587-9618-2021-17-3-157-172LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION 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, RUSSIALocalization of solution of the problem for Poisson’s equation with the use of B-spline discrete-continual finiteelement method (specificversion of wavelet-based discrete-continual finiteelement 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 functions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finiteelement are described, some information about the numerical implementation and an example of analysis are presented.https://ijccse.iasv.ru/index.php/ijccse/article/view/406ocalization, wavelet-based discrete-continual finite elementmethod, B-spline discrete-continual finite elemen method, discrete-continual finite element method, finite elemenmethod, B-spline, numerical solution, Poisson’s equation |
| spellingShingle | Marina Mozgaleva Pavel Akimov LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD International Journal for Computational Civil and Structural Engineering ocalization, wavelet-based discrete-continual finite elementmethod, B-spline discrete-continual finite elemen method, discrete-continual finite element method, finite elemenmethod, B-spline, numerical solution, Poisson’s equation |
| title | LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_full | LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_fullStr | LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_full_unstemmed | LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_short | LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD |
| title_sort | localization of solution of the problem for poisson s equation with the use of b spline discrete continual finite element method |
| topic | ocalization, wavelet-based discrete-continual finite elementmethod, B-spline discrete-continual finite elemen method, discrete-continual finite element method, finite elemenmethod, B-spline, numerical solution, Poisson’s equation |
| url | https://ijccse.iasv.ru/index.php/ijccse/article/view/406 |
| work_keys_str_mv | AT marinamozgaleva localizationofsolutionoftheproblemforpoissonsequationwiththeuseofbsplinediscretecontinualfiniteelementmethod AT pavelakimov localizationofsolutionoftheproblemforpoissonsequationwiththeuseofbsplinediscretecontinualfiniteelementmethod |