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Accuracy considerations in using the PML ABC with FDFD Helmholtz equation computation
Author(s) -
Rappaport Carey M.,
Kilmer Misha,
Miller Eric
Publication year - 2000
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/1099-1204(200009/10)13:5<471::aid-jnm378>3.0.co;2-a
Subject(s) - helmholtz equation , computation , mathematics , helmholtz free energy , computer science , mathematical analysis , algorithm , physics , thermodynamics , boundary value problem
A careful analysis of discretization error in various implementations of Berenger's PML absorbing boundary condition for the FDFD method applied to the Helmholtz equation is presented. Analytic and numerical formulations indicate the clear superiority of specifying the material characteristics in terms of the coupled Ampere's and Faraday's laws first, and then combining the first‐order differential equations a discrete Helmholtz‐like difference equation. Copyright © 2000 John Wiley & Sons, Ltd.