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Advanced Finite Element Methods for MHD (MA4303)

The lecture will be devoted to advanced Finite Element discretisation of partial differential equations. We will first introduce general Finite Element spaces beyond Lagrange Finite Elements in the framework of of the Finite Element Exterior Calculus introduced by Arnold, Falk and Winther. We will also introduce the Discontinuous Galerkin method and the concept of isogeometric analysis. As an application of these methods, we will consider the linear and nonlinear magnetohydrodynamics (MHD) equations applied to magnetic fusion problems that we will derive at the beginning of the lecture.

An exercise class is associated to the lecture where as well analytical exercises as coding exercises in Matlab will be proposed.

Lecture notes

Version of January 30, 2017 of the lecture notes

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-- EricSonnendruecker - 20 Jul 2016