Estimating Accuracy of MoM Solutions On Arbitrary Triangulated 3-D Geometries Based On Examination of Boundary Conditions Performance And Accurate Derivation of Scattered Fields

Abstract

A new error metric is applied for estimating accuracy of MoM solutions on purely 3-D geometries using triangle doublet basis functions. This error metric is based on checking boundary conditions performance (BCP) on scatterer surface and shown to be suited for arbitrary 3-D geometries including open ones. First, accurate expressions for the scattered field are derived to be valid at any observation points including those on the surface of triangles. Further, BCP error metric is examined for estimating accuracy of the scattering problem solution on open cube geometry, and to find the correlation of BCP error with that for near-field characteristics. Finally, BCP error metric is applied to estimate accuracy of MoM solutions on realistic car model, and to find the contributions of its elements to the total error.

Numerical Dispersion in DG-FETD Method Using Brick and Tetrahedral Edge Elements

“…stands for electric fields. Elements 1 and 2 are with the nodes (1,3,4,8) and (1,2,4,6), respectively. Table III lists the values of a small portion of the components of and the phase error .…”

Progress in controlled accuracy numerical solutions of integral equations

“…One key aspect of an adaptive refinement algorithm is the error estimator that identifies the region of the domain with the largest error [20][21][22][23][24]. Two common types of explicit error estimators are those based on residuals and those based on discontinuities of some component of the current or field or their derivative.…”

Computational Techniques for Automotive Antenna Simulations

“…In each iteration step, the geometry is automatically re-discretized in a non-uniform way, until the best solution with a minimum number of unknowns is found. Recent investigations (Bogdanov & Jobava, 2003;Bogdanov et al 2004a, Bogdanov et al, 2004bJobava et al, 2005) show, that the accuracy of the MoM calculations can be controlled by estimation of the boundary conditions performance (BCP) on the scatterer surface S. Thus, a pair of BCP errors:…”

“…Though different computational methods are used, the Method of Moments (MoM) (Harrington, 1968) is the most popular method in automotive antenna design. This chapter describes the recent enhancements (Bogdanov & Jobava, 2003;Bogdanov et al 2004a, Bogdanov et al, 2004bJobava et al, 2005;Bogdanov et al, 2009; of the traditional MoM, offering a set of up-to-date methods and techniques, whose application provides an accurate and effective solution of EM problems related to modern automotive antenna simulations. After description of methods or techniques, application examples are presented.…”