# finite elemte VS finite volume

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 April 5, 2006, 04:11 finite elemte VS finite volume #1 ztdep Guest   Posts: n/a Hi is the finite element more accurate than the finite volum mehthod with the same number of cell

 April 6, 2006, 17:30 Re: finite elemte VS finite volume #2 B. R. Guirguis Guest   Posts: n/a it is well known that the finite element techniques is the most accurate numerical solution technique ever. But there is no exact problem in my hand now.

 April 7, 2006, 06:35 Re: finite elemte VS finite volume #3 Tom Guest   Posts: n/a Not exactly true. In the special cases where they are applicable spectral/Galerkin methods are more accurate. Strictly Speaking the finite volume method is a special case of element method - see for example the book "Computational fluid dynamics" by Chung which discusses FDM, FVM and FEM methods in detail.

 April 7, 2006, 09:20 Re: finite elemte VS finite volume #4 Yves Guest   Posts: n/a Well if the solution you are looking for is flat(read very smooth), in other words 0-order(read low order), yes then finite volumes will be more efficient as a special case of the general higher order finite elements(eg Discontinuous Galerkin). I am not trying to start the eternal discussion on which is better, just as I try to avoid Windows-Linux, vi-emacs , ... discussions. This reply just in response as a note on the side to the reply of Tom, who reacted on the side note of B. R. Guirguis in true 'Fermat style'.

 April 13, 2006, 07:43 Re: finite elemte VS finite volume #5 Sadek Guest   Posts: n/a Isn t the discontinuous galerkin methods part of the finite volume schemes? By High order finite volume scheme, do you mean godunov finite volume method? Sadek

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