# Discontinuous Galerkin method

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 October 27, 2007, 03:15 Discontinuous Galerkin method #1 Troy Guest   Posts: n/a At present ,I am doing the work about Discontinuous Galerkin methods.I viewed many papers,but I have many problems. For example: 1.How to understand the discontinous 2.choice of basis function 3.what the difference of the spectral element method and DG 4.whether the DGM can solove N-S equations If somebody are interested in the DGM,Can you send me e-mail.Tks

 October 29, 2007, 04:27 Re: Discontinuous Galerkin method #2 Yves Guest   Posts: n/a 1) The solution is discontinuous at the boundary of 2 neighbouring cells/elements. This is not so strange actually, you have the same with finite volume schemes. There you only have a cell average which also isn't the same for neigbouring volumes. 2) Lots of freedom to choose base functions, depends heavily on what kind of element (hex, tet, ...) and implementation. Nodal base functions based on orthogonal polynomials seem to have advantages. 3) There exist numerous definitions of spectral element method. Hard to answer this one without knowing what you mean by spectral element. 4) Yes, DGM can solve N-S.

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