Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities
Finite difference approximations and iterative solution methods are constructed for a class of variational inequalities with constraints imposed on the solution and a priori known subdomain containing a free boundary. Domain decomposition method and non-matching grids are used for the approximation....
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-06-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/portal/docs/F_12328134/157_2_phys_mat_6.pdf |
| _version_ | 1826903986537496576 |
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| author | M.A. Ignatieva A.V. Lapin |
| author_facet | M.A. Ignatieva A.V. Lapin |
| author_sort | M.A. Ignatieva |
| collection | DOAJ |
| description | Finite difference approximations and iterative solution methods are constructed for a class of variational inequalities with constraints imposed on the solution and a priori known subdomain containing a free boundary. Domain decomposition method and non-matching grids are used for the approximation. Splitting and Uzawa-type iterative methods are investigated for solving the approximated problems. Numerical comparison of their efficiency is carried out. |
| first_indexed | 2024-04-09T21:25:15Z |
| format | Article |
| id | doaj.art-c5005fa0030f4b1b845b64ba42084a5f |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2025-02-17T08:04:00Z |
| publishDate | 2015-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj.art-c5005fa0030f4b1b845b64ba42084a5f2025-01-03T00:27:42ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982015-06-0115726878Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational InequalitiesM.A. Ignatieva0 A.V. Lapin1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaFinite difference approximations and iterative solution methods are constructed for a class of variational inequalities with constraints imposed on the solution and a priori known subdomain containing a free boundary. Domain decomposition method and non-matching grids are used for the approximation. Splitting and Uzawa-type iterative methods are investigated for solving the approximated problems. Numerical comparison of their efficiency is carried out.https://kpfu.ru/portal/docs/F_12328134/157_2_phys_mat_6.pdfvariational inequalitiesfinite difference approximationdomain decompositionnon-matching gridsiterative methods |
| spellingShingle | M.A. Ignatieva A.V. Lapin Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities Учёные записки Казанского университета: Серия Физико-математические науки variational inequalities finite difference approximation domain decomposition non-matching grids iterative methods |
| title | Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities |
| title_full | Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities |
| title_fullStr | Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities |
| title_full_unstemmed | Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities |
| title_short | Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities |
| title_sort | using domain decomposition method and non matching grids for solving some variational inequalities |
| topic | variational inequalities finite difference approximation domain decomposition non-matching grids iterative methods |
| url | https://kpfu.ru/portal/docs/F_12328134/157_2_phys_mat_6.pdf |
| work_keys_str_mv | AT maignatieva usingdomaindecompositionmethodandnonmatchinggridsforsolvingsomevariationalinequalities AT avlapin usingdomaindecompositionmethodandnonmatchinggridsforsolvingsomevariationalinequalities |