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In this paper, we study boundary element method with high order impedance boundary conditions (HOIBC) to solve Maxwell’s equations. The unknowns are electric and magnetic currents $\mathbf{J}$ and $\mathbf{M}.$ We propose several formulations and study the existence and uniqueness of the solution. Then, we discretize these formulations with a finite element method based on Lagrange elements. We give numerical tests of the HOIBC solution.
}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/20655.html} }In this paper, we study boundary element method with high order impedance boundary conditions (HOIBC) to solve Maxwell’s equations. The unknowns are electric and magnetic currents $\mathbf{J}$ and $\mathbf{M}.$ We propose several formulations and study the existence and uniqueness of the solution. Then, we discretize these formulations with a finite element method based on Lagrange elements. We give numerical tests of the HOIBC solution.