Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method
This paper is concerned with the numerical simulation for shape reconstruction of the unsteady advection-diffusion problems. The continuous dependence of the solution on variations of the boundary is established, and the explicit representation of domain derivative of corresponding equations is deri...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/673108 |
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| _version_ | 1832553539993337856 |
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| author | Wenjing Yan Jian Su Feifei Jing |
| author_facet | Wenjing Yan Jian Su Feifei Jing |
| author_sort | Wenjing Yan |
| collection | DOAJ |
| description | This paper is concerned with the numerical simulation for shape reconstruction of the unsteady advection-diffusion problems. The continuous dependence of the solution on variations of the boundary is established, and the explicit representation of domain derivative of corresponding equations is derived.
This allows the investigation of iterative method for the ill-posed problem. By the parametric method, a regularized Gauss-Newton scheme is employed to the
shape inverse problem. Numerical examples indicate that the proposed algorithm is feasible and effective for the practical purpose. |
| format | Article |
| id | doaj-art-48c1886e9a88452f8a4b084ff854bd07 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-48c1886e9a88452f8a4b084ff854bd072025-02-03T05:53:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/673108673108Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative MethodWenjing Yan0Jian Su1Feifei Jing2School of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi 710049, ChinaSchool of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi 710049, ChinaSchool of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi 710049, ChinaThis paper is concerned with the numerical simulation for shape reconstruction of the unsteady advection-diffusion problems. The continuous dependence of the solution on variations of the boundary is established, and the explicit representation of domain derivative of corresponding equations is derived. This allows the investigation of iterative method for the ill-posed problem. By the parametric method, a regularized Gauss-Newton scheme is employed to the shape inverse problem. Numerical examples indicate that the proposed algorithm is feasible and effective for the practical purpose.http://dx.doi.org/10.1155/2014/673108 |
| spellingShingle | Wenjing Yan Jian Su Feifei Jing Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method Abstract and Applied Analysis |
| title | Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method |
| title_full | Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method |
| title_fullStr | Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method |
| title_full_unstemmed | Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method |
| title_short | Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method |
| title_sort | shape reconstruction for unsteady advection diffusion problems by domain derivative method |
| url | http://dx.doi.org/10.1155/2014/673108 |
| work_keys_str_mv | AT wenjingyan shapereconstructionforunsteadyadvectiondiffusionproblemsbydomainderivativemethod AT jiansu shapereconstructionforunsteadyadvectiondiffusionproblemsbydomainderivativemethod AT feifeijing shapereconstructionforunsteadyadvectiondiffusionproblemsbydomainderivativemethod |