1202.2373 (Alexander V. Mamonov et al.)

Point source identification in non-linear advection-diffusion-reaction
systems    [PDF]

Alexander V. Mamonov, Yen-Hsi Richard Tsai

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.

View original: http://arxiv.org/abs/1202.2373