Bayesian Method for Shape Reconstruction in the Inverse Interior Scattering Problem
| Autor: | Enxi Zheng, Fuming Ma, Yujie Wang |
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| Rok vydání: | 2015 |
| Předmět: |
Article Subject
Point source Scattering lcsh:Mathematics General Mathematics Mathematical analysis Perspective (graphical) Bayesian probability General Engineering Inverse Geometry lcsh:QA1-939 lcsh:TA1-2040 Inverse scattering problem Boundary value problem lcsh:Engineering (General). Civil engineering (General) Shape reconstruction Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2015 (2015) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2015/935294 |
| Popis: | The inverse scattering problem of an interior cavity with three different boundary conditions is considered. Bayesian method is used to reconstruct the shape of the cavity from scattered fields incited by point source(s) and measured on a closed curve inside the cavity. We prove the well-posedness in Bayesian perspective and present numerical examples to show the viability of the method. |
| Databáze: | OpenAIRE |
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