Wavelet-Based Numerical Homogenization
- 1 April 1998
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 35 (2), 540-559
- https://doi.org/10.1137/s0036142996298880
Abstract
A numerical homogenization procedure for elliptic differential equations is presented. It is based on wavelet decompositions of discrete operators in fine and coarse scale components followed by the elimination of the fine scale contributions. If the operator is in divergence form, this is preserved by the homogenization procedure. For periodic problems, results similar to classical effective coefficient theory are proved. The procedure can be applied to problems that are not cell-periodic.Keywords
This publication has 5 references indexed in Scilit:
- A Multiresolution Strategy for Numerical HomogenizationApplied and Computational Harmonic Analysis, 1995
- Ten Lectures on WaveletsPublished by Society for Industrial & Applied Mathematics (SIAM) ,1992
- Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous mediaWater Resources Research, 1991
- Fast wavelet transforms and numerical algorithms ICommunications on Pure and Applied Mathematics, 1991
- Wavelets and Singular Integrals on Curves and SurfacesLecture Notes in Mathematics, 1991