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finite elemte VS finite volume

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Old   April 5, 2006, 04:11
Default finite elemte VS finite volume
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Hi is the finite element more accurate than the finite volum mehthod with the same number of cell
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Old   April 6, 2006, 17:30
Default Re: finite elemte VS finite volume
B. R. Guirguis
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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.
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Old   April 7, 2006, 06:35
Default Re: finite elemte VS finite volume
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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.
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Old   April 7, 2006, 09:20
Default Re: finite elemte VS finite volume
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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'.
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Old   April 13, 2006, 07:43
Default Re: finite elemte VS finite volume
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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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