Publication | Open Access
A Multiplicative Calderon Preconditioner for the Electric Field Integral Equation
460
Citations
17
References
2008
Year
Numerical AnalysisFinite Element MethodElectrical EngineeringPrevious Calderón PreconditionersEngineeringResolvent KernelElliptic EquationMonge-ampere EquationCalderón IdentitiesNumerical ComputationRiemann-hilbert ProblemComputational ElectromagneticsMultiplicative Calderon PreconditionerDiscretization DensityNumerical Method For Partial Differential EquationElliptic Function
<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by leveraging CalderÓn identities is presented. In contrast to all previous CalderÓn preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments (MoM) code. Numerical results demonstrate that the MoM EFIE system obtained using the proposed preconditioning converges rapidly, independently of the discretization density. </para>
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