Abstract
The application of Tikhonov regularization to the determination of relaxation and retardation spectra of viscoelastic fluids is discussed using simulated and real experimental data. It is thereby shown that with this method consistent results for relaxation and retardation spectra can be obtained from experimental data for different material functions. Furthermore, the differences between the most frequently used variants of Tikhonov regularization and the maximum entropy method are discussed. For most calculations the program FTIKREG has been used, which is an especially fast and reliable implementation of Tikhonov's regularization method.
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References
Morozov VA (1984) Methods for Solving Incorrectly Posed Problems. Springer Verlag Berlin
Honerkamp J, Weese J (1989) Macromolecules 22:4372
Groetsch CW (1984) The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind. Pitman, London
Frieden BR (1979) Picture Processing and Digital Filtering, Huang TS (ed), Springer, Berlin
Friedrich Chr, Hofmann B (1983) Rheol Acta 22:425
Wiff DR, Gehatia M (1975) J Appl Phys 46(10):4231
Wiff DR (1978) J Rheol 22(6):589
Elster C, Honerkamp J (1991) Macromolecules 24:310
Honerkamp J (1989) Rheol Acta 28:363
Weese J (in press) Comput Phys Commun
Ferry JD (1980) Viscoelastic properties of Polymers. Wiley & Sons, New York
Honerkamp J, Weese J (1990) Cont Mech and Therm 2:17
Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1986) Numerical Recipes. Cambridge University Press
Berger L (1988) Ph D thesis, Eidgenössische technische Hochschule Zürich
Watanabe H, Kotaka T (1984) Macromolecules 17:2316
Watanabe H, Sakamoto T, Kotaka T (1985) Macromolecules 18:1008
Link G (1988) Progress and Trends in Rheology II, Proceedings of the Second Conference of European Rheologists, Prague 1986, H Giesekus (Ed), Steinkopff Darmstadt
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The contents of this manuscript were presented at the Jahrestagung der Deutschen Rheologischen Gesellschaft, May 1991, by J. Weese.
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Elster, C., Honerkamp, J. & Weese, J. Using regularization methods for the determination of relaxation and retardation spectra of polymeric liquids. Rheola Acta 31, 161–174 (1992). https://doi.org/10.1007/BF00373238
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DOI: https://doi.org/10.1007/BF00373238