Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory
The necessary and sufficient conditions for the solvability of the variational problems of the geometrically and physically nonlinear shallow shell theory by nonclassical boundary conditions modeling the rigid contact of the shell boundary or the normal load in the tangent plane on the shell boundar...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2016-09-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
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| Online Access: | http://kpfu.ru/portal/docs/F1724274209/158_3_phys_mat_2.pdf |
| _version_ | 1797965712704143360 |
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| author | M.M. Karchevsky |
| author_facet | M.M. Karchevsky |
| author_sort | M.M. Karchevsky |
| collection | DOAJ |
| description | The necessary and sufficient conditions for the solvability of the variational problems of the geometrically and physically nonlinear shallow shell theory by nonclassical boundary conditions modeling the rigid contact of the shell boundary or the normal load in the tangent plane on the shell boundary are obtained. The mixed finite element schemes for approximate solving of these problems are constructed. The solvability conditions for the corresponding discrete problems are deduced. The convergence of the approximate solutions by refinement of the domain triangulation is proved. |
| first_indexed | 2024-04-11T02:04:06Z |
| format | Article |
| id | doaj.art-b12aebfddb6b4425a32fb48f07ada5b2 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-11T02:04:06Z |
| publishDate | 2016-09-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-b12aebfddb6b4425a32fb48f07ada5b22023-01-03T03:28:36ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982016-09-011583322335Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell TheoryM.M. Karchevsky0Kazan Federal University, Kazan, 420008 RussiaThe necessary and sufficient conditions for the solvability of the variational problems of the geometrically and physically nonlinear shallow shell theory by nonclassical boundary conditions modeling the rigid contact of the shell boundary or the normal load in the tangent plane on the shell boundary are obtained. The mixed finite element schemes for approximate solving of these problems are constructed. The solvability conditions for the corresponding discrete problems are deduced. The convergence of the approximate solutions by refinement of the domain triangulation is proved.http://kpfu.ru/portal/docs/F1724274209/158_3_phys_mat_2.pdfshallow shellvariational problemsolvability conditionsmixed finite element methodconvergence of approximate solutions |
| spellingShingle | M.M. Karchevsky Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory Учёные записки Казанского университета. Серия Физико-математические науки shallow shell variational problem solvability conditions mixed finite element method convergence of approximate solutions |
| title | Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory |
| title_full | Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory |
| title_fullStr | Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory |
| title_full_unstemmed | Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory |
| title_short | Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory |
| title_sort | mixed finite element method for nonclassical boundary value problems of shallow shell theory |
| topic | shallow shell variational problem solvability conditions mixed finite element method convergence of approximate solutions |
| url | http://kpfu.ru/portal/docs/F1724274209/158_3_phys_mat_2.pdf |
| work_keys_str_mv | AT mmkarchevsky mixedfiniteelementmethodfornonclassicalboundaryvalueproblemsofshallowshelltheory |