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Artificial boundary conditions for axisymmetric eddy current probe problems.

Authors :
Haddar, Houssem
Jiang, Zixian
Lechleiter, Armin
Source :
Computers & Mathematics with Applications. Dec2014 Part A, Vol. 68 Issue 12, p1844-1870. 27p.
Publication Year :
2014

Abstract

We study different strategies for the truncation of computational domains in the simulation of eddy current probes of elongated axisymmetric tubes. For axial fictitious boundaries, an exact Dirichlet-to-Neumann map is proposed and mathematically analyzed via a non-selfadjoint spectral problem: under general assumptions we show convergence of the solution to an eddy current problem involving a truncated Dirichlet-to-Neumann map to the solution on the entire, unbounded axisymmetric domain as the truncation parameter tends to infinity. Under stronger assumptions on the physical parameters of the eddy current problem, convergence rates are shown. We further validate our theoretical results through numerical experiments for a realistic physical setting inspired by eddy current probes of nuclear reactor core tubes. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08981221
Volume :
68
Issue :
12
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
99793414
Full Text :
https://doi.org/10.1016/j.camwa.2014.10.008