Summary
A generalized deffinition is given for the time index and a new prototype example is introduced, which serves as a general case for the computation of the time index for a hierarchy of molten carbonate fuel cell models, including a 2D model. The time indices are computed by a new approach using linear integral equations.
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References
K. Chudej, P. Heidebrecht, V. Petzet, S. Scherdel, Schittkowski, K., H.J. Pesch, and K. Sundmacher. Index analysis and numerical solution of a large scale nonlinear PDAE system describing the dynamical behaviour of molten carbonate fuel cells. Z. Angew. Math. Mech., accepted for publication (2004).
P. Heidebrecht. Modelling, analysis and optimisation of a molten carbonate fuel cell with direct internal reforming (DIR-MCFC). Dissertation, Otto-von-Guericke-Universität Magdeburg, Magdeburg, 2004.
W. Lucht and K. Debrabant. On quasi-linear PDAEs with convection: Applications, indices, numerical solution. Applied Numerical Mathematics, 42:297–314, 2002.
J. Rang and K. Chudej. A perturbation index for a singular PDE model of a fuel cell. Report, Technische Universität Clausthal, 2004.
K. Sternberg, K. Chudej, and H.J. Pesch. Molten Carbonate Fuel Cell: Simulation and Optimization of a Partial Differential-Algebraic Dynamical System.
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© 2006 Springer-Verlag Berlin Heidelberg
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Chudej, K. (2006). Index Analysis for Singular PDE Models of Fuel Cells. In: Di Bucchianico, A., Mattheij, R., Peletier, M. (eds) Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28073-1_30
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DOI: https://doi.org/10.1007/3-540-28073-1_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28072-9
Online ISBN: 978-3-540-28073-6
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