Analysis of a kinematic dynamo model with FEM-BEM coupling

Wibke Lemster, Gert Lube, Günther Of, Olaf Steinbach

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a kinematic dynamo model in a bounded interior simply connected region Ω and in an insulating exterior region urn:x-wiley:1704214:media:mma2991:mma2991-math-0001. In the so-called direct problem, the magnetic field B and the electric field E are unknown and are driven by a given incompressible flow field w. After eliminating E, a vector and a scalar potential ansatz for B in the interior and exterior domains, respectively, are applied, leading to a coupled interface problem. We apply a finite element approach in the bounded interior domain Ω, whereas a symmetric boundary element approach in the unbounded exterior domain Ωc is used. We present results on the well-posedness of the continuous coupled variational formulation, prove the well-posedness and stability of the semi-discretized and fully discretized schemes, and provide quasi-optimal error estimates for the fully discretized scheme.
Original languageEnglish
Pages (from-to)2484-2501
JournalMathematical Methods in the Applied Sciences
Volume37
Issue number16
DOIs
Publication statusPublished - 2014

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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