Estimation of the relaxation spectrum from dynamic experiments using Bayesian analysis and a new regularization constraint |
| |
Authors: | Steen Hansen |
| |
Institution: | (1) Department of Natural Sciences, Faculty of Life Sciences, University of Copenhagen, Thorvaldsensvej 40, 1871 Frederiksberg C, Denmark |
| |
Abstract: | The relaxation spectrum is estimated from dynamic experiments using Bayesian analysis and a new regularization constraint.
In the Bayesian framework, a probability can be calculated for each estimate of the spectrum. This offers several advantages;
(1) an optimal estimate of the relaxation spectrum may be calculated as the mean of a large number of estimates, and (2) reliable
errors for the optimal estimate can be provided using the deviation of all estimates from the mean. Furthermore, the Bayesian
approach (3) gives an estimate of the overall noise level of the experiment, which is usually an important but unknown parameter
for the calculation of relaxation spectra from dynamic experiments by indirect methods (determining the regularization parameter),
and finally, (4) the information content in a given set of experimental data can be quantified. The validity of the Bayesian
approach is demonstrated using simulated data. |
| |
Keywords: | Rheology Relaxation spectrum Bayesian analysis |
本文献已被 SpringerLink 等数据库收录! |
|