Numerical parameter estimation for chemical models in multidimensional reactive flows

We present an algorithm for parameter identification in combustion problems modelled by partial differential equations. The method includes local mesh refinement controlled by a posteriori error estimation with respect to the error in the parameters. The algorithm is applied to two types of combustion problems. The first one deals with the identification of Arrhenius parameters, while in the second one diffusion coefficients for a hydrogen flame are calibrated. (Some figures in this article are in colour only in the electronic version)