Edge Meshless Method Applied to Vector Electromagnetic Problems

A challenge in meshless methods dealing with vector electromagnetic problems is to produce numerical solutions that are free of spurious modes given that the generated vector field does not satisfy the condition of zero divergence. The edge meshless method (EMM) constructs its approximations using s...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2017-06, Vol.53 (6), p.1-4
Main Authors: Lima, Naisses Z., Mesquita, Renato C.
Format: Article
Language:English
Subjects:
Anisotropic media
Anisotropy
Construction methods
Continuity (mathematics)
Divergence
divergence free
edge shape functions
eigenvalue problem
Eigenvalues and eigenfunctions
Electric fields
Fields (mathematics)
Finite element analysis
Finite element method
Magnetism
Meshless methods
Method of moments
Production methods
Production planning
Shape
Shape functions
Two dimensional displays
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Summary:A challenge in meshless methods dealing with vector electromagnetic problems is to produce numerical solutions that are free of spurious modes given that the generated vector field does not satisfy the condition of zero divergence. The edge meshless method (EMM) constructs its approximations using special shape functions based on edges to produce vector fields that are divergence free and to guarantee the continuity of the tangential field components. This paper presents the application of the EMM to solve vector electromagnetic problems. The 2-D Maxwell eigenvalue problem with anisotropic medium is tested to demonstrate that the technique produces correct numerical solution without spurious modes.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2017.2653769