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Error Estimates of Homogenization Theory
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Published/Copyright:
August 8, 2012
Abstract
Basic assumptions are introduced into a homogenization theory which is described in the form of elliptic differential equations with a small parameter. Homogenization operators are used to solve the equations by asymptotic expansion methods, and error estimates of homogenization solutions are given.
Keywords: Homogenization theory; elliptic differential equation; homogenization operator; error estimate
Received: 2011-1-1
Accepted: 2011-6-23
Published Online: 2012-8-8
Published in Print: 2012-8-8
©2012 by De Gruyter
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Keywords for this article
Homogenization theory;
elliptic differential equation;
homogenization operator;
error estimate
Articles in the same Issue
- Frontmatter
- Investigations of Evaluating Energy of Blast-induced Seismic Wave by Pressure in Elastic Zone
- Dynamic Growth and Coalescence of Drilled Voids in Pure Copper Sheets
- Energy Absorption Characteristics of Closed-cell AZ91 Magnesium Alloy Foam
- The Expansion Model of Debris Cloud Induced by Oblique Hypervelocity Impact
- Study on Dynamic Response of Visco-elastic Plate Under Transverse Periodic Load
- Ballistic Impact Characteristics of Flat-nose Projectile Penetrating Concrete and Soil Compound Target
- Non-linear Mathematical Model for Peristaltic Motion of Bio-fluids in a Channel and Tube
- Mass Loss and Nose Shape Change on Ogive-nose Steel Projectiles During Concrete Penetration
- Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus
- The Soret Effect with the D1Q2 and D2Q4 Lattice Boltzmann Model
- Error Estimates of Homogenization Theory
- Complex Population Dynamics in Heterogeneous Environments: Effects of Random and Directed Animal Movements
