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Date
2013-01Type
- Report
Abstract
We consider an eddy current problem in time-domain relying on impedance boundary conditions on the surface of the conductor(s). We pursue its full discretization comprising (i) a finite element Galerkin discretization by means of lowest order edge elements in space, and (ii) temporal discretization based on Runge-Kutta convolution quadrature (CQ) for the resulting Volterra integral equation in time. The final algorithm also involves the fast and oblivious approximation of CQ. For this method we give a comprehensive convergence analysis and establish that the errors of spatial discretization, CQ and of its approximate realization add up to the final error bound. Show more
Publication status
unpublishedVolume
Publisher
ETH Zürich, Seminar für Angewandte MathematikSubject
Eddy current problem; Impedance boundary conditions; Convolution; Quadrature; Fast and oblivious algorithmsOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
Related publications and datasets
Is previous version of: http://hdl.handle.net/20.500.11850/80993
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