Variability analysis of via crosstalk using polynomial chaos expansion

Frick, Eduard; Preibisch, Jan B.; Seifert, Christian; Lindner, Marko

doi:10.1109/nemo.2017.7964272

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Cited by 5 publications

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“…[2]. The well-known MC method is easy to implement and reliable but it suffers from slow convergence.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Intrusive PCE Extension of the Contour Integral Method and its Application in Electrical Engineering

Frick¹,

Dahl

Seifert³

et al. 2019

Proc Appl Math and Mech

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For the study of electromagnetic waves in a 2D environment, the Helmholtz equation can be reformulated in boundary integral form by the so-called Contour Integral Method (CIM). The influence of uncertainty in the geometry is studied via Polynomial Chaos Expansion (PCE). A distinction is made between the so-called intrusive and non-intrusive PCE. Both methods are applied to the CIM and compared to each other and to Monte-Carlo simulation (MC).

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“…[2]. The well-known MC method is easy to implement and reliable but it suffers from slow convergence.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast, the PCE expands the desired random output quantity into a generalized Fourier series of orthogonal polynomials in the random variables before it truncates the expansion after a sufficient degree p. The convergence of that series often depends on the frequency f , see e.g. [2].…”

Section: Introductionmentioning

confidence: 99%