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In this paper, a stable and effective preconditioner for the method of moments-based electric field integral equation matrix, based on the null-field method, is presented to expedite the convergence of Krylov subspace-based fast iterative solution. The preconditioner is computed from all near-field blocks and selected far-field blocks in accordance with the null-field procedure. The final form of...
Power distribution network (PDN) of a multilayered printed circuit board is designed to supply low noise and stable power to ICs. Reduced voltage levels and increasing current-supply requirements accentuates the PDN design complexity. It therefore becomes necessary to have multiple design iterations to achieve an optimal impedance profile for the PDN. 3D full-wave electromagnetic solvers, like the...
Power distribution network (PDN) of a multilayered PCB is designed to supply low noise and stable power to ICs. Reduced voltage levels, increased current requirements make it challenging to attain the desired PDN impedance profile. It is therefore necessary to have multiple design iterations for optimal performance of the PDN. 3D full-wave electromagnetic solvers like the Partial Element Equivalent...
3D full-wave Method of Moments (MoM) is a well established method to solve Maxwell's equations numerically to find electrical performance of package-board structures. However, accurate solution of arbitrary-shaped 3D geometry using MoM depends on proper mesh refinement. The discretization of the electrical structure should be fine enough to appropriately capture spatial variation of parameters being...
In a typical design cycle many iterations on the package-board-system layout may be performed to meet design specifications. In the process, the analysis step needs to be repeated as many times as the number of layout variants. The cost of analysis, especially if using a 3D fullwave extraction methodology, therefore becomes prohibitive for large-scale analysis in the design process. In this paper,...
In this paper, a preconditioning technique based on the null field method is presented to accelerate the convergence of fast near-linear complexity iterative Method of Moments (MoM) solution. For large-scale package-board 3D full-wave parasitic extraction, the solution time is often prohibitive for use in a design-cycle which might necessitate several analysis stages. The bottleneck is often the slow-convergence...
3D full-wave extraction of electronic systems using fast Method of Moments is often bottlenecked by the convergence of the Krylov-subspace based iterative process. For example, the Electric Field Integral Equation (EFIE) matrix often exhibits bad spectral properties which render iterative solvers slow to converge or stagnate occasionally. In this paper, an Augmented Generalized minimal residual (AGMRES)...
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