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   -> Volume 1, Issue 7

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Author Message
Keith Deacon

PostPosted: Mon Oct 12, 1992 11:15 pm    
Subject: Question
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Has anybody done any work with moving, i.e. Lagrangian, wavelets in the
solution of physical problems like advection-diffusion?

It is well known that orthogonal wavelets and shape functions on compact
support retain their orthogonality for certain finite distance translations.
For translations between allowable grid points orthogonality is lost and
coefficients vary dramatically. When wavelets are used to represent certain
physical phenomena their coefficients can be related to grid nodes through
Galerkin or collocation techniques to solve Eulerian formulated equations.
The physical problems of convection and diffusion involve moving concentrations
or mass. While the equations can be formulated on a fixed grid, the Eulerian
grid, the equations can also be formulated from the viewpoint of the moving
mass, Lagrangian equations. Is there a way to take advantage of the multi-
resolution properties of wavelets in the Lagrangian frame of reference?
This would probably require the formulation of moving multi-resolution
wavelets and shape functions.

Any references or correspondence would be welcome. Thanks,

Replies can be emailed to or

Phone correspondence to myself or Mr. Ron Meyers at
(505) 678-4037

Thank you again,
Keith Deacon
All times are GMT + 1 Hour
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