Third-Order Corrections in Periodic Homogenization for Elliptic Problem

被引：1

作者：

Hawa, Tebib ^{[1
]}

Ahmed, Chacha Djamal ^{[1
]}

机构：

[1] Univ Kasdi Merbah Ouargla, Lab Math Appl, BP 51130000, Ouargla, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 04期

关键词：

Homogenization; elliptic equations; boundary layers; corrector; asymptotic analysis; NUMERICAL BOUNDARY CORRECTOR; ASYMPTOTIC ANALYSIS; ERROR ESTIMATE; EQUATIONS; LAYERS;

D O I：

10.1007/s00009-021-01727-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of the error estimates in the periodic homogenization of elliptic equations in divergence form with Dirichlet boundary conditions. We are interested in the application of a two-scale asymptotic expansions method. We present the error estimates of the third-order with and without boundary layers terms.

引用

页数：19

共 24 条

[21] Asymptotic analysis of second-order boundary layer correctors
Onofrei, Daniel
Vernescu, Bogdan
[J]. APPLICABLE ANALYSIS, 2012, 91 (06) : 1097 - 1110
[22] ASYMPTOTIC ANALYSIS OF BOUNDARY LAYER CORRECTORS IN PERIODIC HOMOGENIZATION
Prange, Christophe
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (01) : 345 - 387
[23] Convergence analysis for the numerical boundary corrector for elliptic equations with rapidly oscillating coefficients
Sarkis, Marcus
Versieux, Henrique
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 46 (02) : 545 - 576
[24] Numerical boundary corrector for elliptic equations with rapidly oscillating periodic coefficients
Versieux, H. M.
Sarkis, M.
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2006, 22 (06): : 577 - 589

← 1 2 3 →