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arXiv · 1202.2373

Point source identification in non-linear advection-diffusion-reaction systems

Alexander V. Mamonov·Yen-Hsi Richard Tsai
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Abstract

We consider a problem of identification of point sources in time dependent advection-diffusion systems with a non-linear reaction term. The linear counterpart of the problem in question can be reduced to solving a system of non-linear algebraic equations via the use of adjoint equations. We extend this approach by constructing an algorithm that solves the problem iteratively to account for the non-linearity of the reaction term. We study the question of improving the quality of source identification by adding more measurements adaptively using the solution obtained previously with a smaller number of measurements.

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BibTeXRIS

Alexander V. Mamonov, Yen-Hsi Richard Tsai. 2012-02-10. Point source identification in non-linear advection-diffusion-reaction systems. https://doi.org/10.1088/0266-5611%2F29%2F3%2F035009

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