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 50 条

[21] On One Solution of a Periodic Boundary-Value Problem for a Third-Order Pseudoparabolic Equation
N. T. Orumbayeva
A. B. Keldibekova
Lobachevskii Journal of Mathematics, 2020, 41 : 1864 - 1872
[22] PERIODIC BOUNDARY-VALUE PROBLEM FOR THIRD-ORDER LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
Hakl, R.
UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (03) : 481 - 494
[23] On the unique solvability of a periodic boundary value problem for third-order linear differential equations
Baslandze, SR
Kiguradze, IT
DIFFERENTIAL EQUATIONS, 2006, 42 (02) : 165 - 171
[24] Periodic boundary-value problem for third-order linear functional differential equations
R. Hakl
Ukrainian Mathematical Journal, 2008, 60 (3) : 481 - 494
[25] On homogenization for periodic elliptic second order differential operators in a strip
Senik, Nikita N.
2012 PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD), 2012, : 215 - 220
[26] Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients
Yu. M. Meshkova
T. A. Suslina
Functional Analysis and Its Applications, 2017, 51 : 230 - 235
[27] Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients
Meshkova, Yu. M.
Suslina, T. A.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2017, 51 (03) : 230 - 235
[28] STRING CORRECTIONS TO THE RIEMANN CURVATURE TENSOR AND THE THIRD-ORDER SOLUTION
Bellucci, S.
O'Reilly, D.
MODERN PHYSICS LETTERS A, 2012, 27 (22)
[29] On the periodic solutions of third-order neutral differential equation
Bicer, Emel
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (02) : 2013 - 2020
[30] Existence of Periodic Solutions of a Third-Order Nonlinear System
V. V. Fomichev
A. V. Il’in
A. I. Rogovskiy
R. R. Begishev
R. P. Mitrev
T. S. Todorov
Differential Equations, 2021, 57 : 1341 - 1357

← 1 2 3 4 5 →