Mathematical modeling of bending of a circular plate using $S$-splines
This article is dedicated to the use of higher degree $S$-splines for solving equations of the elasticity theory. As an example we consider the solution to the equation of bending of a plate on a circle. $S$-spline is a piecewise-polynomial function. Its coefficients are defined by two conditions. T...
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| Format: | Article |
| Language: | Russian |
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Institute of Computer Science
2015-10-01
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| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2015_5/15.07.01.pdf |
| _version_ | 1818057672631517184 |
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| author | A. N. Fedosova Dmitrii Alekseevich Silaev |
| author_facet | A. N. Fedosova Dmitrii Alekseevich Silaev |
| author_sort | A. N. Fedosova |
| collection | DOAJ |
| description | This article is dedicated to the use of higher degree $S$-splines for solving equations of the elasticity theory. As an example we consider the solution to the equation of bending of a plate on a circle. $S$-spline is a piecewise-polynomial function. Its coefficients are defined by two conditions. The first part of the coefficients are defined by the smoothness of the spline. The rest are determined using the least-squares method. We consider class $C^4$ 7th degree $S$-splines. |
| first_indexed | 2024-12-10T12:48:28Z |
| format | Article |
| id | doaj.art-e03c711171954800b8426a2cc4a565d9 |
| institution | Directory Open Access Journal |
| issn | 2076-7633 2077-6853 |
| language | Russian |
| last_indexed | 2024-12-10T12:48:28Z |
| publishDate | 2015-10-01 |
| publisher | Institute of Computer Science |
| record_format | Article |
| series | Компьютерные исследования и моделирование |
| spelling | doaj.art-e03c711171954800b8426a2cc4a565d92022-12-22T01:48:20ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532015-10-017597798810.20537/2076-7633-2015-7-5-977-9882365Mathematical modeling of bending of a circular plate using $S$-splinesA. N. FedosovaDmitrii Alekseevich SilaevThis article is dedicated to the use of higher degree $S$-splines for solving equations of the elasticity theory. As an example we consider the solution to the equation of bending of a plate on a circle. $S$-spline is a piecewise-polynomial function. Its coefficients are defined by two conditions. The first part of the coefficients are defined by the smoothness of the spline. The rest are determined using the least-squares method. We consider class $C^4$ 7th degree $S$-splines.http://crm.ics.org.ru/uploads/crmissues/crm_2015_5/15.07.01.pdfapproximationsplinenumerical methodsmethod of finite elementsthe mathematical physicsthe elasticity theory |
| spellingShingle | A. N. Fedosova Dmitrii Alekseevich Silaev Mathematical modeling of bending of a circular plate using $S$-splines Компьютерные исследования и моделирование approximation spline numerical methods method of finite elements the mathematical physics the elasticity theory |
| title | Mathematical modeling of bending of a circular plate using $S$-splines |
| title_full | Mathematical modeling of bending of a circular plate using $S$-splines |
| title_fullStr | Mathematical modeling of bending of a circular plate using $S$-splines |
| title_full_unstemmed | Mathematical modeling of bending of a circular plate using $S$-splines |
| title_short | Mathematical modeling of bending of a circular plate using $S$-splines |
| title_sort | mathematical modeling of bending of a circular plate using s splines |
| topic | approximation spline numerical methods method of finite elements the mathematical physics the elasticity theory |
| url | http://crm.ics.org.ru/uploads/crmissues/crm_2015_5/15.07.01.pdf |
| work_keys_str_mv | AT anfedosova mathematicalmodelingofbendingofacircularplateusingssplines AT dmitriialekseevichsilaev mathematicalmodelingofbendingofacircularplateusingssplines |