تقرير
Traceability of Water Pollution: An Inversion Scheme Via Dynamic Complex Geometrical Optics Solutions
| العنوان: | Traceability of Water Pollution: An Inversion Scheme Via Dynamic Complex Geometrical Optics Solutions |
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| المؤلفون: | Qiu, Lingyun, Wang, Zhongjing, Yu, Hui, Yu, Shenwen |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | We investigate the identification of the time-dependent source term in the diffusion equation using boundary measurements. This facilitates tracing back the origins of environmental pollutants. Employing the concept of dynamic complex geometrical optics (CGO) solutions, a variational formulation of the inverse source problem is analyzed, leading to a proof of uniqueness result. Our proposed two-step reconstruction algorithm first determines the point source locations and subsequently reconstructs the Fourier components of the emission concentration functions. Numerical experiments on simulated data are conducted. The results demonstrate that the proposed two-step reconstruction algorithm can reliably reconstruct multiple point sources and accurately reconstruct the emission concentration functions. Additionally, by partitioning the algorithm into online and offline computations, and concentrating computational demand offline, real-time pollutant traceability becomes feasible. This method, applicable in various fields - especially those related to water pollution, can identify the source of a contaminant in the environment, thus serving as a valuable tool in environmental protection. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2308.05958Test |
| رقم الانضمام: | edsarx.2308.05958 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |