An explicit formulation for the inverse transport problem using only external detectors: Part II: Application to one-dimensional homogeneous and heterogeneous participating media
| Autor: | Acevedo,Nancy I. Alvarez, Roberty,Nilson Costa, Silva Neto,Antônio J |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Computational & Applied Mathematics, Volume: 29, Issue: 3, Pages: 359-374, Published: 2010 Computational & Applied Mathematics v.29 n.3 2010 Computational & Applied Mathematics Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) instacron:SBMAC |
| Popis: | The steady state inverse radiative transfer problem in one-dimensional participating media is studied as an example of application of the new methodology presented in a accompanying paper by the authors [2]. Spectral methods are used for the appropriate analysis of the direct transport problem. For the inverse problem, we present a matrix that involves only values of the flux intensities at the boundary of the medium. Its columns are built with a set of linearly independent solutions for the system, which is formed when angular half-range prescribed boundary values and the complementary measured half-range boundary values are coupled. The final inverse albedo problem is treated as a full range two point boundary value problem. Test cases results are presented. Mathematical subject classification: 80A23, 15A29. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|