Towards a method for solving partial differential equations by using wavelet packet bases - Archive ouverte HAL Access content directly
Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 1994

Towards a method for solving partial differential equations by using wavelet packet bases

(1) , (1) , (2, 3)
1
2
3

Abstract

In this paper we present a new methodology based on the wavelet packet concept, in order to define an adaptive method for the approximation of partial differential equations. The wavelet packet framework allows us to define the notion of a minimal basis that has proven to be an efficient procedure for data compression. The purpose here is to take benefit of this compression to represent accurately and economically the solution of a time dependent PDE. The time discretization is a standard multistep scheme. The spacial discretization is defined by inferring a reduced basis for the solution at the new time step, from the knowledge of the previous ones.
Fichier principal
Vignette du fichier
JMP.pdf (235.46 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01321537 , version 1 (25-05-2016)

Identifiers

Cite

Pascal Joly, Yvon Maday, Valérie Perrier. Towards a method for solving partial differential equations by using wavelet packet bases. Computer Methods in Applied Mechanics and Engineering, 1994, ⟨10.1016/S0045-7825(94)80036-7⟩. ⟨hal-01321537⟩
133 View
192 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More