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Comparing 3D finite element formulations modeling scattering from a conducting sphere

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3 Author(s)
Parker, J.W. ; Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA ; Ferraro, R.D. ; Liewer, P.C.

Six tetrahedral finite-element varieties are used to model the frequency-domain open-region scattering problem of a ka=2 conducting sphere. A wave-absorbing boundary condition is imposed at kr=3. Linear and quadratic node-based elements display vector parasites, which are less significant in the quadratic element case. Whitney edge elements improve with increasing mesh density, but accuracy is costly due to approximately linear h-convergence. Whitney elements also result in acceptably fast convergence of a biconjugate gradient iterative solver, alone among the elements examined. Novel weighted Whitney elements show some effectiveness and appear free of vector parasites, but are not as cost-effective as Whitney elements. Higher-order tangential elements appear cost-effective, in that accurate solutions may be obtained at low mesh density

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Magnetics, IEEE Transactions on  (Volume:29 ,  Issue: 2 )