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In this paper, we address the low-frequency breakdown and inaccuracy problems in the Calderón multiplicative preconditioned electric field integral equation (CMP-EFIE) operator, and propose the perturbation method as a remedy for three-dimensional perfect electric conductor (PEC) scatterers. The electric currents at different frequency orders as a(More)
It is evident that the low frequency full wave electromagnetic modelling is necessary for IC packaging analysis. Considering the complexity, it is very difficult to solve the whole problem directly. Even though the domain decomposition method is a legitimate approach for these types of problems, the domain decomposition method based on the equivalence(More)
A broadband integral-equation-based domain decomposition method (DDM) using augmented equivalence principle algorithm (A-EPA) is introduced for solving large scale electromagnetic scattering, circuits, and Casimir force problems. The root cause of the low frequency breakdown problem of EPA algorithm without augmentation technique is analyzed. Numerical(More)
Conventional equivalence principle algorithm (EPA) employs cubical boxes to support equivalence sources. However, it introduces strong discontinuities. In this work, a spherical surface is employed as the equivalence surface in EPA to avoid singularities from non-smooth surfaces. Further to achieve high order accuracy, meshless samples are used for the(More)
In this paper, we present a novel fast method to solve Poisson’s equation in an arbitrary two dimensional region with Neumann boundary condition, which are frequently encountered in solving electrostatic boundary problems. The basic idea is to solve the original Poisson’s equation by a two-step procedure. In the first stage, we expand the electric field of(More)
A broadband integral-equation-based domain decomposition method (DDM) using augmented equivalence principle algorithm (A-EPA) is introduced for solving large scale electromagnetic scattering, circuits, and Casimir force problems. The root cause of the low frequency breakdown problem of EPA algorithm without augmentation technique is analyzed. Numerical(More)
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