
A Combined Source Integral Equation with Weak Form Combined Source Condition
A combined source integral equation (CSIE) is constructed on the basis o...
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An Accurate LowOrder Discretization Scheme for the Identity Operator in the Magnetic Field and Combined Field Integral Equations
A new loworder discretization scheme for the identity operator in the m...
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Tridiagonal and Block Tridiagonal computed Sparse Preconditioners for large Electrodynamic Electric Field Integral Equation (EFIE) Solution
In this work, we propose simple and efficient tridiagonal computed spars...
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Improved Discretization of the Full FirstOrder Magnetic Field Integral Equation
The inaccuracy of the classical magnetic field integral equation (MFIE) ...
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An OSRC Preconditioner for the EFIE
The Electric Field Integral Equation (EFIE) is a wellestablished tool t...
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LippmannSchwingerLanczos algorithm for inverse scattering problems
Datadriven reduced order models (ROMs) are combined with the LippmannS...
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A New Preconditioner for the EFIE Based on Primal and Dual Graph Laplacian Spectral Filters
The Electric Field Integral Equation (EFIE) is notorious for its illcon...
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A WeakForm Combined Source Integral Equation with Explicit Inversion of the CombinedSource Condition
The combined source integral equation (CSIE) for the electric field on the surface of a perfect electrically conducting scatterer can be discretized very accurately with lowestorder RaoWiltonGlisson basis and testing functions if the combinedsource (CS) condition is enforced in weak form. We introduce a technique to accelerate the iterative solution for this kind of CSIE. It is demonstrated that the iterative solution of the equation system can be performed very efficiently by explicitly inverting the weakform CS condition in any evaluation of the forward operator. This reduces the number of unknowns and results in improved convergence behavior at negligible, linear cost. Numerical results demonstrate that the new CSIE outperforms the classical CFIE for highaccuracy simulations.
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