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Parameter Estimation and Accuracy Matching Strategies for 2-D Reactor Models

Please always quote using this URN: urn:nbn:de:0297-zib-7749
  • The mathematical modeling of a special modular catalytic reactor kit leads to a system of partial differential equation in two space dimensions. As customary, this model contains unconfident physical parameters, which may be adapted to fit experimental data. To solve this nonlinear least squares problem we apply a damped Gauss-Newton method. A method of lines approach is used to evaluate the associated model equations. By an a priori spatial discretization a large DAE system is derived and integrated with an adaptive, linearly-implicit extrapolation method. For sensitivity evaluation we apply an internal numerical differentiation technique, which reuses linear algebra information from the model integration. In order not to interfere the control of the Gauss-Newton iteration these computations are done usually very accurately and, therefore, very costly. To overcome this difficulty, we discuss several accuracy adaptation strategies, e.g., a master-slave mode. Finally, we present some numerical experiments.

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Metadaten
Author:Ulrich Nowak, Aleksander Grah, Manfred Schreier
Document Type:ZIB-Report
Tag:accuracy matching; catalytic reactor models; differential-algebraic systems; extrapolation methods; method of lines; parameter estimation
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K99 None of the above, but in this section
65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M20 Method of lines
80-XX CLASSICAL THERMODYNAMICS, HEAT TRANSFER (For thermodynamics of solids, see 74A15) / 80Axx Thermodynamics and heat transfer / 80A20 Heat and mass transfer, heat flow
80-XX CLASSICAL THERMODYNAMICS, HEAT TRANSFER (For thermodynamics of solids, see 74A15) / 80Axx Thermodynamics and heat transfer / 80A23 Inverse problems
Date of first Publication:2004/01/06
Series (Serial Number):ZIB-Report (03-52)
ZIB-Reportnumber:03-52
Published in:Appeared in: Journal of Computational and Applied Mathematics 183 (2005) 301-311
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