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Mapped infinite elements for 3‐D vector potential magnetic problems
Author(s) -
Li Hui,
Saigal Sunil,
Ali Ashraf,
Pawlak Timothy P.
Publication year - 1994
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/nme.1620370210
Subject(s) - eddy current , finite element method , vector potential , magnetic potential , electromagnetism , electromagnetics , electromagnetic field , domain (mathematical analysis) , maxwell's equations , mathematics , mathematical analysis , computational electromagnetics , magnetostatics , computer science , magnetic field , physics , engineering physics , quantum mechanics , thermodynamics
Numerous engineering problems, especially those in electromagnetics, often require the treatment of the unbounded continua. Mapped infinite elements have been developed for the solution of 3‐D magnetic vector potential equations in infinite domain that may be used in conjunction with the standard finite elements. The electromagnetic field equations are written in terms of the magnetic vector potential for the infinite domain, and 3‐D mapped infinite eiement formulation based on these equations is presented in detail. A series of magnetostatics and eddy current problems are solved to demonstrate the validity and efficiency of the procedure. These numerical results indicate that the combined finite–infinite element procedure is computationally much more economical for the solution of unbounded electromagnetic problems, especially when using the vector potential formulation, as the number of system equations decreases substantially compared to the finite element only procedure. The present procedure shows promise for the treatment of large practical industrial 3‐D eddy current problems with manageable computer resources.