The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems
Correctness of initial boundary value problems and their discretizations are analyzed under unusual second-order boundary conditions, which can be considered as natural boundary conditions in strengthened Sobolev spaces and as improvements (in some cases) of the classical Dirichlet boundary conditio...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S102602260000025X |
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| _version_ | 1832556276712734720 |
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| author | E. D'Yakonov |
| author_facet | E. D'Yakonov |
| author_sort | E. D'Yakonov |
| collection | DOAJ |
| description | Correctness of initial boundary value problems and their discretizations are analyzed under unusual second-order boundary conditions, which can be considered as natural boundary conditions in strengthened Sobolev spaces and as improvements (in some cases) of the classical Dirichlet boundary conditions. Special attention is paid to optimal perturbation estimates for new variants of the penalty method with respect to the Dirichlet conditions. |
| format | Article |
| id | doaj-art-70eb62f1dcd54739b4b58876be0b8529 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-70eb62f1dcd54739b4b58876be0b85292025-02-03T05:45:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-014426928110.1155/S102602260000025XThe dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problemsE. D'Yakonov0Department of Computer Mathematics and Cybernetics, Moscow State University, Moscow 119899, RussiaCorrectness of initial boundary value problems and their discretizations are analyzed under unusual second-order boundary conditions, which can be considered as natural boundary conditions in strengthened Sobolev spaces and as improvements (in some cases) of the classical Dirichlet boundary conditions. Special attention is paid to optimal perturbation estimates for new variants of the penalty method with respect to the Dirichlet conditions.http://dx.doi.org/10.1155/S102602260000025XThe Dirichlet and related natural boundary conditionsStrengthened Sobolev spacesParabolic problems. |
| spellingShingle | E. D'Yakonov The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems Discrete Dynamics in Nature and Society The Dirichlet and related natural boundary conditions Strengthened Sobolev spaces Parabolic problems. |
| title | The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems |
| title_full | The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems |
| title_fullStr | The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems |
| title_full_unstemmed | The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems |
| title_short | The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems |
| title_sort | dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems |
| topic | The Dirichlet and related natural boundary conditions Strengthened Sobolev spaces Parabolic problems. |
| url | http://dx.doi.org/10.1155/S102602260000025X |
| work_keys_str_mv | AT edyakonov thedirichletboundaryconditionsandrelatednaturalboundaryconditionsinstrengthenedsobolevspacesfordiscretizedparabolicproblems AT edyakonov dirichletboundaryconditionsandrelatednaturalboundaryconditionsinstrengthenedsobolevspacesfordiscretizedparabolicproblems |