2009
DOI: 10.1109/tap.2009.2024464
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Time Domain CalderÓn Identities and Their Application to the Integral Equation Analysis of Scattering by PEC Objects Part II: Stability

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Cited by 81 publications
(71 citation statements)
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“…If y(t) is expanded in a single set of basis functions (h(t − i∆t) or p(t − i∆t)), and (25) is tested with a single set of testing functions (p(t − i∆t) or δ(t−i∆t)), high frequency instabilities are encountered. When a stability analysis is conducted as in [16], the eigenvalues of the companion matrix are not confined to the unit circle, indicating that the scheme is unstable.…”
Section: Temporal Discretizationmentioning
confidence: 99%
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“…If y(t) is expanded in a single set of basis functions (h(t − i∆t) or p(t − i∆t)), and (25) is tested with a single set of testing functions (p(t − i∆t) or δ(t−i∆t)), high frequency instabilities are encountered. When a stability analysis is conducted as in [16], the eigenvalues of the companion matrix are not confined to the unit circle, indicating that the scheme is unstable.…”
Section: Temporal Discretizationmentioning
confidence: 99%
“…The time step is chosen as 0.83 ns (or c∆t = 0.25 m). The scattering problem is solved using the EFIE (Section II), the dot-trick Calderón preconditioned EFIE [16] and the qHP-TDEFIE (Section III).…”
Section: A Torusmentioning
confidence: 99%
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