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Three‐dimensional magnetostatic problem
Author(s) -
Bandelier B.,
Daveau C.,
Laminie J.,
Mefire S. M.,
RiouxDamidau F.
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990910)46:1<117::aid-nme670>3.0.co;2-j
Subject(s) - finite element method , domain (mathematical analysis) , maxwell's equations , space (punctuation) , mathematics , operator (biology) , mathematical analysis , numerical analysis , code (set theory) , boundary (topology) , boundary value problem , boundary element method , computer science , physics , biochemistry , chemistry , set (abstract data type) , repressor , transcription factor , gene , thermodynamics , programming language , operating system
The paper is devoted to an approximation of the solution of Maxwell's equations in three‐dimensional space. We present two methods which couple a finite element method inside the magnetic materials with a boundary integral method which uses Poincaré–Steklov's operator to describe the exterior domain. A computer code has been implemented for each method and a number of numerical experiments have been performed to validate each proposed methodology. Namely, we present numerical results concerning a non‐linear magnetostatic problem in ℝ 3 . Copyright © 1999 John Wiley & Sons, Ltd.