FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains

Abstract : Incorporating boundary conditions at infinity into simulations on bounded computational domains is a repeatedly occurring problem in scientific computing. The combination of finite element methods (FEM) and boundary element methods (BEM) is the obvious instrument, and we adapt here for the first time the two standard FEM-BEM coupling approaches to the free-boundary equilibrium problem: the Johnson-Nédélec coupling and the Bielak-MacCamy coupling. We recall also the classical approach for fusion applications, dubbed according to its first appearance von-Hagenow-Lackner coupling and present the less used alternative introduced in [AlbaneseEtAL1986]. These methods are compared through numerical experiments. We show that the von-Hagenow-Lackner coupling suffers from non-optimal approximations properties, and, moreover, that such coupling methods require Newton-like iteration schemes, for solving the corresponding non-linear discrete algebraic systems.
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https://hal.archives-ouvertes.fr/hal-01443392
Contributor : Holger Heumann <>
Submitted on : Monday, January 23, 2017 - 10:27:43 AM
Last modification on : Friday, July 20, 2018 - 1:42:02 PM
Long-term archiving on : Monday, April 24, 2017 - 12:51:07 PM

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Blaise Faugeras, Holger Heumann. FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains. [Research Report] RR-9016, INRIA Sophia Antipolis - Méditerranée; CASTOR. 2017. ⟨hal-01443392⟩

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