Error estimates of homogenization theory

Wei Dong Song; Jian Guo Ning; Jing Wang; Jian Qiao Li

doi:10.1515/ijnsns-2011-0301

Error estimates of homogenization theory

Wei Dong Song^*, Jian Guo Ning, Jing Wang, Jian Qiao Li

^*Corresponding author for this work

School of Mechatronical Engineering

China Institute of Water Resources and Hydropower Research

Research output: Contribution to journal › Review article › peer-review

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.

Original language	English
Pages (from-to)	295-298
Number of pages	4
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	13
Issue number	3-4
DOIs	https://doi.org/10.1515/ijnsns-2011-0301
Publication status	Published - Aug 2012

Keywords

Elliptic differential equation
Error estimate
Homogenization operator
Homogenization theory

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10.1515/ijnsns-2011-0301

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@article{c85e2e8170ce410b9b111a6ba6ec515e,

title = "Error estimates of homogenization theory",

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 = "Elliptic differential equation, Error estimate, Homogenization operator, Homogenization theory",

author = "Song, {Wei Dong} and Ning, {Jian Guo} and Jing Wang and Li, {Jian Qiao}",

year = "2012",

month = aug,

doi = "10.1515/ijnsns-2011-0301",

language = "English",

volume = "13",

pages = "295--298",

journal = "International Journal of Nonlinear Sciences and Numerical Simulation",

issn = "1565-1339",

publisher = "Walter de Gruyter GmbH",

number = "3-4",

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TY - JOUR

T1 - Error estimates of homogenization theory

AU - Song, Wei Dong

AU - Ning, Jian Guo

AU - Wang, Jing

AU - Li, Jian Qiao

PY - 2012/8

Y1 - 2012/8

N2 - 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.

AB - 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.

KW - Elliptic differential equation

KW - Error estimate

KW - Homogenization operator

KW - Homogenization theory

UR - http://www.scopus.com/inward/record.url?scp=84869997737&partnerID=8YFLogxK

U2 - 10.1515/ijnsns-2011-0301

DO - 10.1515/ijnsns-2011-0301

M3 - Review article

AN - SCOPUS:84869997737

SN - 1565-1339

VL - 13

SP - 295

EP - 298

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 3-4

ER -

Error estimates of homogenization theory

Abstract

Keywords

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