Numerical Reconstruction of a Space-Dependent Reaction Coefficient and Initial Condition for a Multidimensional Wave Equation with Interior Degeneracy
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Numerical Reconstruction of a Space-Dependent Reaction Coefficient and Initial Condition for a Multidimensional Wave Equation with Interior Degeneracy
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| Автор |
Sidi, H. O.
Zaky, M. A. De, Staelen, R. H. Hendy, A. S. |
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| Тематика |
CGM
COEFFICIENT AND INITIAL FUNCTION RECONSTRUCTION INTERIOR DEGENERACY WAVE PROBLEM |
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| Описание |
A simultaneous reconstruction of the initial condition and the space-dependent reaction coefficient in a multidimensional hyperbolic partial differential equation with interior degeneracy is of concern. A temporal integral observation is utilized to achieve that purpose. The well-posedness, existence, and uniqueness of the inverse problem under consideration are discussed. The inverse problem can be reformulated as a least squares minimization and the Fréchet gradients are determined, using the adjoint and sensitivity problems. Finally, an iterative construction procedure is developed by employing the conjugate gradient algorithm while invoking the discrepancy principle as a stopping criterion. Some numerical experiments are given to ensure the performance of the reconstruction scheme in one and two dimensions. © 2023 by the authors.
Russian Science Foundation, RSF: 22-21-00075 Ahmed Hendy wishes to acknowledge the RSF, Russia grant, project 22-21-00075. |
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| Дата |
2024-04-05T16:30:11Z
2024-04-05T16:30:11Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Sidi, H, Zaky, M, De Staelen, R & Hendy, A 2023, 'Numerical Reconstruction of a Space-Dependent Reaction Coefficient and Initial Condition for a Multidimensional Wave Equation with Interior Degeneracy', Mathematics, Том. 11, № 14, 3186. https://doi.org/10.3390/math11143186
Sidi, H., Zaky, M., De Staelen, R., & Hendy, A. (2023). Numerical Reconstruction of a Space-Dependent Reaction Coefficient and Initial Condition for a Multidimensional Wave Equation with Interior Degeneracy. Mathematics, 11(14), [3186]. https://doi.org/10.3390/math11143186 2227-7390 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85166198173&doi=10.3390%2fmath11143186&partnerID=40&md5=f7c2743362cbc3e8f6a008aa97a6c7d1 https://www.mdpi.com/2227-7390/11/14/3186/pdf?version=1689904375 http://elar.urfu.ru/handle/10995/130675 10.3390/math11143186 85166198173 001069980600001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//22-21-00075
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Multidisciplinary Digital Publishing Institute (MDPI)
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| Источник |
Mathematics
Mathematics |
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