IEEE Transactions on Antennas and Propagation · 2013 · 16 citations · 20 references
ComputingElectrical EngineeringPhysicsComputational ElectromagneticsElectromagneticsElectromagnetismConvergence AnalysisIntegral Equation FormulationsIterative SolversMaxwell's EquationsMesh AnalysisMesh GenerationBasis FunctionsCalderón PreconditioningElectric Field Integral EquationExpansionHigh-order Surface RepresentationHigher-order Basis FunctionsPreconditioning For Integral EquationsTime-domain Integral Equations
Two high-order accurate Calderón preconditioned time domain electric field integral equation (TDEFIE) solvers are presented. In contrast to existing Calderón preconditioned time domain solvers, the proposed preconditioner allows for high-order surface representations and current expansions by using a novel set of fully-localized high-order div- and quasi curl-conforming (DQCC) basis functions. Numerical results demonstrate that the linear systems of equations obtained using the proposed basis functions converge rapidly, regardless of the mesh density and of the order of the current expansion.
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