Finding the Optimal Regularization Parameter in Distribution of Relaxation Times Analysis
Nicolas Schlüter,Sabine Ernst,Uwe Schröder +2 more
- 13 Dec 2019
- Vol. 6, Iss: 24, pp 6027-6037
About: The article was published on 13 Dec 2019. and is currently open access. The article focuses on the topics: Tikhonov regularization & Regularization (mathematics).
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Influence of the Discretization Methods on the Distribution of Relaxation Times Deconvolution: Implementing Radial Basis Functions with DRTtools
TL;DR: A MATLAB GUI toolbox is developed, which can be used to solve DRT regularization problems, and it is shown that applying RBF discretization for deconvolving the DRT problem can lead to faster numerical convergence rate as compared with that of PWL discretized only at error free situation.
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Tikhonov regularization and total least squares
TL;DR: It is shown how Tikhonov's regularization method can be recast in a total least squares formulation suited for problems in which both the coefficient matrix and the right-hand side are known only approximately.
Deconvolution of electrochemical impedance spectra for the identification of electrode reaction mechanisms in solid oxide fuel cells
TL;DR: In this article, a deconvolution method was developed and implemented that yields these characteristic distribution patterns directly from the impedance spectra, and a general strategy for the identification of the reaction mechanisms was given.
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