期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 28, 期 2, 页码 751-775出版社
SIAM PUBLICATIONS
DOI: 10.1137/040621673
关键词
maxwell's equations; discontinuous Galerkin methods; uncertainty quantification; chaos expansion
We discuss computationally efficient ways of accounting for the impact of uncertainty, e. g., lack of detailed knowledge about sources, materials, shapes, etc., in computational time-domain electromagnetics. In contrast to classic statistical Monte Carlo-based methods, we explore a probabilistic approach based on high-order accurate expansions of general stochastic processes. We show this to be highly efficient and accurate on both one- and two-dimensional examples, enabling the computation of global sensitivities of measures of interest, e. g., radar-cross-sections (RCS) in scattering applications, for a variety of types of uncertainties.
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