Homogenization Error Estimates for a Periodic Beltrami Equation

被引：2

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

[21] INTERIOR ERROR ESTIMATE FOR PERIODIC HOMOGENIZATION
Griso, Georges
ANALYSIS AND APPLICATIONS, 2006, 4 (01) : 61 - 79
[22] Operator estimates in reiterated and locally periodic homogenization
S. E. Pastukhova
R. N. Tikhomirov
Doklady Mathematics, 2007, 76 : 548 - 553
[23] Lipschitz Estimates in Almost-Periodic Homogenization
Armstrong, Scott N.
Shen, Zhongwei
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2016, 69 (10) : 1882 - 1923
[24] Operator estimates in reiterated and locally periodic homogenization
Pastukhova, S. E.
Tikhomirov, R. N.
DOKLADY MATHEMATICS, 2007, 76 (01) : 548 - 553
[25] Uniform estimates in two periodic homogenization problems
Schweizer, B
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2000, 53 (09) : 1153 - 1176
[26] Constructive error estimates for full discrete approximation of periodic solution for heat equation
Kimura, Takuma
Minamoto, Teruya
Nakao, Mitsuhiro T.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 368
[27] Operator Error Estimates for Homogenization of Hyperbolic Equations
M. A. Dorodnyi
T. A. Suslina
Functional Analysis and Its Applications, 2020, 54 : 53 - 58
[28] Operator Error Estimates for Homogenization of Hyperbolic Equations
Dorodnyi, M. A.
Suslina, T. A.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2020, 54 (01) : 53 - 58
[29] Improvement of the Constructive A Priori Error Estimates for a Fully Discretized Periodic Solution of Heat Equation
Kimura, Takuma
Minamoto, Teruya
Nakao, Mitsuhiro T.
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2022, 22 (03) : 631 - 647
[30] Homogenization and correctors for the wave equation with periodic coefficients
Casado-Diaz, Juan
Couce-Calvo, Julio
Maestre, Faustino
Martin Gomez, Jose D.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2014, 24 (07) : 1343 - 1388

← 1 2 3 4 5 →