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Multiresolution Representation in Unstructured Meshes : I. Preliminary Report

Abstract : In this paper we describe techniques to represent data which originate from discretization of functions in unstructured meshes in terms of their local scale components. To do so we consider a nested sequence of discretization which corresponds to increasing level of resolution, and define the scales as the ''difference in information" between any two successive levels. We obtain data compression by eliminating scale-coefficients which are sufficiently small. This capability for data compression can be used to reduce the cost of numerical schemes by solving for the more compact representation of the numerical solution in terms of its significant scale-coefficients.
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https://hal.inria.fr/inria-00074335
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Submitted on : Wednesday, May 24, 2006 - 3:05:31 PM
Last modification on : Wednesday, August 7, 2019 - 12:14:40 PM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:37:11 PM

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  • HAL Id : inria-00074335, version 1

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Remi Abgrall, Ami Harten. Multiresolution Representation in Unstructured Meshes : I. Preliminary Report. [Research Report] RR-2342, INRIA. 1994. ⟨inria-00074335⟩

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