P-Adaptive Computation of the Scattering Parameters of 3-D Microwave Devices

Abstract

A new error indicator is proposed to guide the -adaptive finite-element analysis of three-dimensional microwave devices. The indicator makes use of the properties of the hierarchal elements to target directly the error in the scattering parameters of the device. The indicator is used to guide the -adaptive analysis of three rectangular waveguide components: a U-bend, a waveguide transformer, and a multiaperture-coupled iris filter. It is shown that the new indicator is able to provide more accurate values at a lower computational cost than a previous indicator.Index Terms-Error indicator, finite-element (FE) method, microwave devices, -adaption, waveguide components.

Goal-Oriented Self-Adaptive Hp-Strategies for Finite Element Analysis of Electromagnetic Scattering and Radiation Problems

“…The latter is introduced in the mathematical model by plugging it into (6), i.e., ∂φ inc (ρ)/∂n + j k 0 φ inc (ρ) = Ψ inc (ρ). The function Ψ, and specifically, Ψ inc will be part of an excitation term of the variational formulation (see (9)). Note Table 1.…”

“…However, quite a few papers have been published on p-adaptivity (and related topics), e.g., [8][9][10][11][12] and even fewer on hp-adaptivity, [13][14][15][16] most of the latter ones being h + p methods rather than hp methods.…”

Adaptive Optimization of Microwave Devices over a Frequency Band

“…The hierarchal elements lend themselves naturally to p-adaption (Nair & Webb, 2004). A suitable error indicator for the eth element is one based on the change in one of the scattering parameters, S pq , when the order of the element is increased by one.…”

“…In Nair and Webb (2004) a method is described for finding f N E .q/ e g by solving a small local matrix problem. The indicator in Eq.…”

“…Alternatively, an adaptive FE may be used to achieve a pre-specified accuracy (Sun et al, 2000;Nair & Webb, 2004). Either way, the accuracy-and cost-of the FE is held roughly constant throughout the optimization.…”