A penalty approximation method for a semilinear parabolic double obstacle problem
In this work, we present a novel power penalty method for the approximation of a global solution to a double obstacle complementarity problem involving a semilinear parabolic differential operator and a bounded feasible solution set.We first rewrite the double obstacle complementarity problem as a d...
| Main Authors: | , , |
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| Format: | Journal Article |
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Kluwer Academic Publishers
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/15410 |
| _version_ | 1848748885171765248 |
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| author | Zhou, Y. Wang, Song Yang, X. |
| author_facet | Zhou, Y. Wang, Song Yang, X. |
| author_sort | Zhou, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this work, we present a novel power penalty method for the approximation of a global solution to a double obstacle complementarity problem involving a semilinear parabolic differential operator and a bounded feasible solution set.We first rewrite the double obstacle complementarity problem as a double obstacle variational inequality problem. Then, we construct a semilinear parabolic partial differential equation (penalized equation) for approximating the variational inequality problem.We prove that the solution to the penalized equation converges to that of the variational inequality problem and obtain a convergence rate that is corresponding to the power used in the formulation of the penalized equation. Numerical results are presented to demonstrate the theoretical findings. |
| first_indexed | 2025-11-14T07:12:09Z |
| format | Journal Article |
| id | curtin-20.500.11937-15410 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:12:09Z |
| publishDate | 2014 |
| publisher | Kluwer Academic Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-154102018-03-29T09:07:21Z A penalty approximation method for a semilinear parabolic double obstacle problem Zhou, Y. Wang, Song Yang, X. Penalty approximation method Parabolic differential operator Global optimizer Double obstacle problem Complementarity problem In this work, we present a novel power penalty method for the approximation of a global solution to a double obstacle complementarity problem involving a semilinear parabolic differential operator and a bounded feasible solution set.We first rewrite the double obstacle complementarity problem as a double obstacle variational inequality problem. Then, we construct a semilinear parabolic partial differential equation (penalized equation) for approximating the variational inequality problem.We prove that the solution to the penalized equation converges to that of the variational inequality problem and obtain a convergence rate that is corresponding to the power used in the formulation of the penalized equation. Numerical results are presented to demonstrate the theoretical findings. 2014 Journal Article http://hdl.handle.net/20.500.11937/15410 10.1007/s10898-013-0122-6 Kluwer Academic Publishers restricted |
| spellingShingle | Penalty approximation method Parabolic differential operator Global optimizer Double obstacle problem Complementarity problem Zhou, Y. Wang, Song Yang, X. A penalty approximation method for a semilinear parabolic double obstacle problem |
| title | A penalty approximation method for a semilinear parabolic double obstacle problem |
| title_full | A penalty approximation method for a semilinear parabolic double obstacle problem |
| title_fullStr | A penalty approximation method for a semilinear parabolic double obstacle problem |
| title_full_unstemmed | A penalty approximation method for a semilinear parabolic double obstacle problem |
| title_short | A penalty approximation method for a semilinear parabolic double obstacle problem |
| title_sort | penalty approximation method for a semilinear parabolic double obstacle problem |
| topic | Penalty approximation method Parabolic differential operator Global optimizer Double obstacle problem Complementarity problem |
| url | http://hdl.handle.net/20.500.11937/15410 |