High order surface impedance boundary conditions with the A-ø formulation | Zendy

Nathan Ida | Zendy; Yvonnic Lemenach | Zendy; Thomas Henneron | Zendy

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High order surface impedance boundary conditions with the A-ø formulation

Author(s) -

Nathan Ida,

Yvonnic Lemenach,

Thomas Henneron

Publication year - 2011

Publication title -

facta universitatis - series electronics and energetics

Language(s) - English

Resource type - Journals

eISSN - 2217-5997

pISSN - 0353-3670

DOI - 10.2298/fuee1102147i

Subject(s) - finite element method , order (exchange) , surface (topology) , electrical impedance , boundary value problem , boundary (topology) , mathematical analysis , mathematics , geometry , structural engineering , engineering , electrical engineering , finance , economics

Surface impedance boundary conditions (SIBCs) of high order of approxi- mations basd on the Rytov method are introduced and implemented in the A-φ finite element formulation. With first order elements, only first an d second order approxima- tions for the surface impedance are possible. Third order SIBCs require second order (or higher) finite elements. The order of approximation is no t limited but only orders up to three are practical and useful. The method was implemented in an existing FEM code and results are shown to validate its use and accuracy.

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