33 research outputs found
Sequential Sampling for Optimal Weighted Least Squares Approximations in Hierarchical Spaces
Sparse Representations for Uncertainty Quantification of a Coupled Field-Circuit Problem
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