TY - GEN

T1 - A variational approach to compute singular axisymmetric electromagnetic fields

AU - Assous, F.

AU - Raichik, I.

PY - 2013

Y1 - 2013

N2 - We propose a new variational approach to solve the axisymmetric Maxwell equations in singular domains, as for example in non convex polygonal domains. We focus on the computation of the electric field E = (Er,E z). We show that the key point is to solve axisymmetric Laplace-like operators in the singular domain. This can not be performed by a standard finite element method, which would give a solution identically equal to zero. To get the true non-vanishing solution, we decompose the computational domain into several subdomains, then we derive an ad hoc variational formulation, in which the interface conditions are imposed through a method deduced from a Nitsche approach. Numerical examples are shown.

AB - We propose a new variational approach to solve the axisymmetric Maxwell equations in singular domains, as for example in non convex polygonal domains. We focus on the computation of the electric field E = (Er,E z). We show that the key point is to solve axisymmetric Laplace-like operators in the singular domain. This can not be performed by a standard finite element method, which would give a solution identically equal to zero. To get the true non-vanishing solution, we decompose the computational domain into several subdomains, then we derive an ad hoc variational formulation, in which the interface conditions are imposed through a method deduced from a Nitsche approach. Numerical examples are shown.

UR - http://www.scopus.com/inward/record.url?scp=84884802887&partnerID=8YFLogxK

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AN - SCOPUS:84884802887

SN - 9781934142264

T3 - Progress in Electromagnetics Research Symposium

SP - 325

EP - 329

BT - PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings

T2 - Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm

Y2 - 12 August 2013 through 15 August 2013

ER -