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

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Wiebke Lemster

    (University Göttingen, Department of Mathematics and Computer Science)

  • Gert Lube

    (University Göttingen, Department of Mathematics and Computer Science)

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.

Suggested Citation

  • Wiebke Lemster & Gert Lube, 2010. "A MHD Problem on Unbounded Domains: Coupling of FEM and BEM," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 589-597, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_63
    DOI: 10.1007/978-3-642-11795-4_63
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