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Adjoint Error Estimation for a Pseudo-Spectral Approach to Stochastic Field-Circuit Coupled Problems |
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| Authors: | Ulrich Römer Sebastian Schöps |
| Affiliation: | 1. Institut für Theorie Elektromagnetischer Felder, Technische Universitaet Darmstadt, Schlossgartenstr. 8, D-64289 Darmstadt, Germany;2. Institut für Theorie Elektromagnetischer Felder, Technische Universitaet Darmstadt, Schlossgartenstr. 8, D-64289 Darmstadt, Germany Graduate School of Computational Engineering, Technische Universitaet Darmstadt, Dolivostr. 15, D-64293 Darmstadt, Germany |
| Abstract: | This work is concerned with the numerical approximation of random differential-algebraic equations (DAE), arising from electric field-circuit coupled problems. Using the adjoint DAE, the stochastic collation error is analyzed. The error can be evaluated using a collocation method of the same polynomial degree for the adjoint DAE. In particular, there is no need for constructing a solution of higher polynomial degree. The accuracy of the estimator is illustrated by a numerical example. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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