Copyright © 2018, arXiv, All rights reserved. We consider a model of an electric circuit, where differential algebraic equations for a circuit part are coupled to partial differential equations for an electromagnetic field part. An uncertainty quantification is performed by changing physical parameters into random variables. A random quantity of interest is expanded into the (generalised) polynomial chaos using orthogonal basis polynomials. We investigate the determination of sparse representations, where just a few basis polynomials are required for a sufficiently accurate approximation. Furthermore, we apply model order reduction with proper orthogonal decomposition to obtain a low-dimensional representation in an alternative basis.60H30, 78M10, 94C99,
CITATION STYLE
Pulch, R., & Schöps, S. (2019). Sparse Representations for Uncertainty Quantification of a Coupled Field-Circuit Problem (pp. 11–18). https://doi.org/10.1007/978-3-030-27550-1_2
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