TY - GEN

T1 - A variational method to solve Maxwell's equations in singular axisymmetric domains with arbitrary data

AU - Assous, F.

AU - Raichik, I.

PY - 2015

Y1 - 2015

N2 - We propose a variational method to solve Maxwell's equations in singular axisymmetric domains with arbitrary data. Considering the equations written in (r, θ, z), we use a Fourier transform in θ to reduce 3D equations to a series of 2D equations, depending on the Fourier variable k. We then consider the case k = 0, corresponding to the full axisymmetric case, and focus on the computation of the magnetic field. The non stationary variational formulation to compute the solution is derived, and solved with a finite element approach. Numerical examples are shown.

AB - We propose a variational method to solve Maxwell's equations in singular axisymmetric domains with arbitrary data. Considering the equations written in (r, θ, z), we use a Fourier transform in θ to reduce 3D equations to a series of 2D equations, depending on the Fourier variable k. We then consider the case k = 0, corresponding to the full axisymmetric case, and focus on the computation of the magnetic field. The non stationary variational formulation to compute the solution is derived, and solved with a finite element approach. Numerical examples are shown.

UR - http://www.scopus.com/inward/record.url?scp=84947287198&partnerID=8YFLogxK

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AN - SCOPUS:84947287198

T3 - Progress in Electromagnetics Research Symposium

SP - 2215

EP - 2219

BT - PIERS 2015 Prague - Progress In Electromagnetics Research Symposium, Proceedings

PB - Electromagnetics Academy

ER -