A MHD Problem on Unbounded Domains: Coupling of FEM and BEM

Wiebke Lemster () and Gert Lube ()
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Wiebke Lemster: University Göttingen, Department of Mathematics and Computer Science
Gert Lube: University Göttingen, Department of Mathematics and Computer Science

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 589-597 from Springer

Abstract: Abstract We consider the MHD problem on ℝ 3 = Ω ∪Ω E , where Ω is a bounded, conducting Lipschitz domain and Ω E is an insulating region. After semidiscretization in time, we apply a finite element approach in Ω. A boundary element approach is used in Ω E . We present results on the well-posedness of the continuous problem and for the semidiscrete coupled problems arising within each time step. Finally we show the quasi-optimality of a regularised FE discretisation within each time step.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_63

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DOI: 10.1007/978-3-642-11795-4_63

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