Estimate of convection-diffusion coefficients from modulated perturbative experiments as an inverse problem

JET-EFDA collaborators

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

The estimate of coefficients of the convection–diffusion equation (CDE) from experimental measurements belongs to the category of inverse problems, which are known to come with issues of ill-conditioning or singularity. Here we concentrate on a particular class that can be reduced to a linear algebraic problem, with explicit solution. Ill-conditioning of the problem corresponds to the vanishing of one eigenvalue of the matrix to be inverted. The comparison with algorithms based on matching experimental data against numerical integration of the CDE sheds light on the accuracy of the parameter estimation procedures, and suggests a path for a more precise assessment of the profiles and of the related uncertainty. Several instances of the implementation of the algorithm to real data are presented.
Original languageEnglish
Article number124025
JournalPlasma Physics and Controlled Fusion
Volume54
Issue number12
DOIs
Publication statusPublished - 2012
MoE publication typeA1 Journal article-refereed

Fingerprint

conditioning
Inverse problems
convection
diffusion coefficient
estimates
numerical integration
Parameter estimation
eigenvalues
Experiments
coefficients
matrices
profiles
Convection
Uncertainty

Cite this

@article{91a4a10639f249e9a4b7c50c0b7ac206,
title = "Estimate of convection-diffusion coefficients from modulated perturbative experiments as an inverse problem",
abstract = "The estimate of coefficients of the convection–diffusion equation (CDE) from experimental measurements belongs to the category of inverse problems, which are known to come with issues of ill-conditioning or singularity. Here we concentrate on a particular class that can be reduced to a linear algebraic problem, with explicit solution. Ill-conditioning of the problem corresponds to the vanishing of one eigenvalue of the matrix to be inverted. The comparison with algorithms based on matching experimental data against numerical integration of the CDE sheds light on the accuracy of the parameter estimation procedures, and suggests a path for a more precise assessment of the profiles and of the related uncertainty. Several instances of the implementation of the algorithm to real data are presented.",
author = "F. Sattin and D.F. Escande and Y. Camenen and Antti Salmi and Tuomas Tala and {JET-EFDA collaborators}",
year = "2012",
doi = "10.1088/0741-3335/54/12/124025",
language = "English",
volume = "54",
journal = "Plasma Physics and Controlled Fusion",
issn = "0741-3335",
publisher = "Institute of Physics IOP",
number = "12",

}

Estimate of convection-diffusion coefficients from modulated perturbative experiments as an inverse problem. / JET-EFDA collaborators.

In: Plasma Physics and Controlled Fusion, Vol. 54, No. 12, 124025, 2012.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Estimate of convection-diffusion coefficients from modulated perturbative experiments as an inverse problem

AU - Sattin, F.

AU - Escande, D.F.

AU - Camenen, Y.

AU - Salmi, Antti

AU - Tala, Tuomas

AU - JET-EFDA collaborators

PY - 2012

Y1 - 2012

N2 - The estimate of coefficients of the convection–diffusion equation (CDE) from experimental measurements belongs to the category of inverse problems, which are known to come with issues of ill-conditioning or singularity. Here we concentrate on a particular class that can be reduced to a linear algebraic problem, with explicit solution. Ill-conditioning of the problem corresponds to the vanishing of one eigenvalue of the matrix to be inverted. The comparison with algorithms based on matching experimental data against numerical integration of the CDE sheds light on the accuracy of the parameter estimation procedures, and suggests a path for a more precise assessment of the profiles and of the related uncertainty. Several instances of the implementation of the algorithm to real data are presented.

AB - The estimate of coefficients of the convection–diffusion equation (CDE) from experimental measurements belongs to the category of inverse problems, which are known to come with issues of ill-conditioning or singularity. Here we concentrate on a particular class that can be reduced to a linear algebraic problem, with explicit solution. Ill-conditioning of the problem corresponds to the vanishing of one eigenvalue of the matrix to be inverted. The comparison with algorithms based on matching experimental data against numerical integration of the CDE sheds light on the accuracy of the parameter estimation procedures, and suggests a path for a more precise assessment of the profiles and of the related uncertainty. Several instances of the implementation of the algorithm to real data are presented.

U2 - 10.1088/0741-3335/54/12/124025

DO - 10.1088/0741-3335/54/12/124025

M3 - Article

VL - 54

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

IS - 12

M1 - 124025

ER -