Parameter identification for chemical models in combustion problems

Authors:
R. Becker;M. Braack;B. Vexler
Affiliations:
Laboratoire de Mathematiques Appliquees, Université de Pau et des Pays de l'Adour, BP, Pau cedex, France;Institute of Applied Mathematics, University of Heidelberg, INF, Heidelberg, Germany;Institute of Applied Mathematics, University of Heidelberg, INF, Heidelberg, Germany
Venue:
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
Year:
2005

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Abstract

We present an algorithm for parameter identification in combustion problems modeled 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 an ozone flame are calibrated.