Homogenization Error Estimates for a Periodic Beltrami Equation

被引：1

作者：

Sirazhudinov, M. M. ^{[1
,2
]}

Tikhomirova, S. V. ^{[3
]}

机构：

[1] Russian Acad Sci, Dagestan Fed Res Ctr, Makhachkala 367000, Dagestan, Russia

[2] Dagestan State Univ, Makhachkala 367015, Dagestan, Russia

[3] Vladimir State Univ, Vladimir 600000, Russia

来源：

DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 12期

关键词：

D O I：

10.1134/S00122661200120095

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using asymptotic methods, we derive homogenization error estimates of the order O (epsilon) for the periodic problem for a generalized Beltrami equation with rapidly oscillating epsilon-periodic coefficients.

引用

页码：1604 / 1612

页数：9

共 50 条

[41] Stable estimates in equation error identification
Lopez-Valcarce, R
Dasgupta, S
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 1678 - 1679
[42] A POSTERIORI ERROR ESTIMATES FOR THE RICHARDS EQUATION
Mitra, K.
Vohralik, M.
MATHEMATICS OF COMPUTATION, 2024, 93 (347) : 1053 - 1096
[43] Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations
Sunghan Kim
Ki-Ahm Lee
Archive for Rational Mechanics and Analysis, 2022, 243 : 697 - 745
[44] Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations
Kim, Sunghan
Lee, Ki-Ahm
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 243 (02) : 697 - 745
[45] Homogenization estimates for fiber-reinforced elastomers with periodic microstructures
Brun, M.
Lopez-Pamies, O.
Castaneda, P. Ponte
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (18-19) : 5953 - 5979
[46] Periodic homogenization and effective mass theorems for the Schrodinger equation
Allaire, Gregoire
QUANTUM TRANSPORT, 2008, 1946 : 1 - 44
[47] Homogenization of the Allen-Cahn equation with periodic mobility
Morfe, Peter S.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 61 (03)
[48] HOMOGENIZATION OF ELLIPTIC SYSTEMS WITH PERIODIC COEFFICIENTS: OPERATOR ERROR ESTIMATES IN L2(Rd) WITH CORRECTOR TAKEN INTO ACCOUNT
Suslina, T. A.
ST PETERSBURG MATHEMATICAL JOURNAL, 2015, 26 (04) : 643 - 693
[49] The application of non-periodic homogenization of elastic equation
Zhang LingYun
Sun HePing
Xu JianQiao
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2020, 63 (01): : 131 - 140
[50] OPERATOR ERROR ESTIMATES FOR HOMOGENIZATION OF FOURTH ORDER ELLIPTIC EQUATIONS
Pastukhova, S. E.
ST PETERSBURG MATHEMATICAL JOURNAL, 2017, 28 (02) : 273 - 289

← 1 2 3 4 5 →