This paper concerns the electromagnetic scattering by arbitrary shaped three dimensional imperfectly conducting objects modeled with non-constant Leontovitch impedance boundary condition.It has two objectives.Firstly,...This paper concerns the electromagnetic scattering by arbitrary shaped three dimensional imperfectly conducting objects modeled with non-constant Leontovitch impedance boundary condition.It has two objectives.Firstly,the intrinsically wellconditioned integral equation(noted GCSIE)proposed in[30]is described focusing on its discretization.Secondly,we highlight the potential of this method by comparison with two other methods,the first being a two currents formulation in which the impedance condition is implicitly imposed and whose the convergence is quasioptimal for Lipschitz polyhedron,the second being a CFIE-like formulation[14].In particular,we prove that the new approach is less costly in term of CPU time and gives a more accurate solution than that obtained from the CFIE formulation.Finally,as expected,It is demonstrated that no preconditioner is needed for this formulation.展开更多
文摘This paper concerns the electromagnetic scattering by arbitrary shaped three dimensional imperfectly conducting objects modeled with non-constant Leontovitch impedance boundary condition.It has two objectives.Firstly,the intrinsically wellconditioned integral equation(noted GCSIE)proposed in[30]is described focusing on its discretization.Secondly,we highlight the potential of this method by comparison with two other methods,the first being a two currents formulation in which the impedance condition is implicitly imposed and whose the convergence is quasioptimal for Lipschitz polyhedron,the second being a CFIE-like formulation[14].In particular,we prove that the new approach is less costly in term of CPU time and gives a more accurate solution than that obtained from the CFIE formulation.Finally,as expected,It is demonstrated that no preconditioner is needed for this formulation.
