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Topic: Finite Difference vs. Finite Element
Replies: 32   Last Post: Jun 4, 2004 2:30 PM

 Messages: [ Previous | Next ]
 Mirko Vukovic Posts: 25 Registered: 12/8/04
Re: Finite Difference vs. Finite Element
Posted: Apr 21, 2000 11:06 AM

In article <Pine.GSO.3.96.1000419234628.6765A-100000@general5.asu.edu>,
John Hernlund <hernlund@imap3.asu.edu> wrote:
> On Wed, 12 Apr 2000, Mirko Vukovic wrote:
> > John Hernlund <hernlund@imap3.asu.edu> wrote:
> > > Hello There,
> > > I have been reading a lot of literature on the finite

difference
> > and finite
> > > element methods recently and have found a great variety of
opinions
> > regarding
> > > which is best for this or that problem. In programming both types
I
> > have
> > > found that both can produce nice results. I would like to hear
more
> > opinions
> > > on the matter however...
> > >
> > > What do you think?

> > I thing I am quoting here from the literature on simulation of wave
> > propagation in magnetized plasmas (ionized gas) which I read years

ago.
> >
> > These problems in general have pairs of solutions, one growing, one
> > damping. In order to make sure that the growing one does not

over-whelm
> > the solution, one is supposed to use finite elements. I presume
that
> > the reason is that when you convert the PDE into a variational form,
you
> > take the boundary conditions into account, and thus suppress the
> > un-physical solution.

>
> You can accomplish this with finite differences also. In our PDE

class we
> took the fourier transform of a modified difference scheme which had a
> diffusion term and adjusted the parameters to obtain the correct decay

and
> dispersion for the waves. After that, everything ran just fine... As
a
> matter of fact, controlling these things in finite differences was far
easier
> than for finite elements.
>

Could you point me to a reference that deals with that example? I would
like to take a look.

Thanks,

(Now curious) Mirko

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Date Subject Author
4/10/00 John Hernlund
4/11/00 Pierre Asselin
4/11/00 William R. Frensley
4/12/00 John Hernlund
4/12/00 William R. Frensley
4/16/00 John Hernlund
4/12/00 John Hernlund
4/12/00 Pierre Asselin
4/12/00 Mirko Vukovic
4/18/00 telford@xenon.triode.net.au
4/20/00 William R. Frensley
4/20/00 John Hernlund
4/21/00 Mirko Vukovic
4/24/00 Arian Novruzi
4/26/00 telford@xenon.triode.net.au
4/27/00 Arian Novruzi
4/28/00 Peter Hansbo
4/28/00 William R. Frensley
4/27/00 Mirko Vukovic
4/14/00 Thomas Schliesch
4/17/04 Shyam
4/17/04 Carlos Felippa
4/17/04 J. W. Peterson