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Multiple scales expansions for eddy current computation in layered media
Author(s) -
Chiampi M.,
Negro A.,
Serra E.,
Eckhaus W.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110109
Subject(s) - computation , mathematics , eddy current , constraint (computer aided design) , homogeneous , asymptotic expansion , current (fluid) , mathematical analysis , geometry , algorithm , physics , combinatorics , quantum mechanics , thermodynamics
An asymptotic expansion is derived by the multiple scales method for the electromagnetic potential in a one‐dimensional model problem for eddy current computations in periodic non‐homogeneous layered media in presence of an integral constraint for each period. Error estimates for approximations with partial sums of any order are established. Numerical computations of correctors up to the fourth order are performed and the results are compared with the exact solution in some significant cases.