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Journal Articles Journal of Computational Physics Year : 2012

An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation

Abstract

In this work, a new discretization scheme of the gyrokinetic quasi-neutrality equation is proposed. It is based on Isogeometric Analysis; the IGA which relies on NURBS functions, seems to accommodate arbitrary coordinates and the use of complicated computation domains. Moreover, arbitrary high order degree of basis functions can be used. Here, this approach is successfully tested on elliptic problems like the quasi-neutrality equation.
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Dates and versions

inria-00584672 , version 1 (09-04-2011)

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Nicolas Crouseilles, Ahmed Ratnani, Eric Sonnendrücker. An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation. Journal of Computational Physics, 2012, 231 (2), pp.373-393. ⟨10.1016/j.jcp.2011.09.004⟩. ⟨inria-00584672⟩
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