2021
DOI: 10.1109/tmtt.2021.3094211
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A Novel Method for Intrusive Stochastic Estimation of Geometric Tolerance Effects in Finite Element Electromagnetic Analysis

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Cited by 8 publications
(2 citation statements)
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“…Both intrusive and non‐intrusive numerical stochastic algorithms exist for handling uncertainties 2 . Intrusive uncertainty quantification (UQ) algorithms such as spectral stochastic finite element method (SSFEM), 3,4 and Neumann expansion (NE) 5 have been proposed in EM applications, where the parameter variations are modeled as a random variable. Such uncertainty models fail to capture spatial variations.…”
Section: Introductionmentioning
confidence: 99%
“…Both intrusive and non‐intrusive numerical stochastic algorithms exist for handling uncertainties 2 . Intrusive uncertainty quantification (UQ) algorithms such as spectral stochastic finite element method (SSFEM), 3,4 and Neumann expansion (NE) 5 have been proposed in EM applications, where the parameter variations are modeled as a random variable. Such uncertainty models fail to capture spatial variations.…”
Section: Introductionmentioning
confidence: 99%
“…A typical example are the methods based on the framework of generalized polynomial chaos expansion (PCE) [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], which expand the stochastic quantities of interest in terms of orthogonal basis functions of the uncertain parameters. The number of basis functions grows exponentially with the input dimensionality and/or the expansion order, thus becoming intractable for problems with several parameters that require high-order expansions.…”
mentioning
confidence: 99%