Two-scale convergence for nonlinear Dirichlet problems in perforated domains

被引：58

作者：

Casado-Díaz, J ^{[1
]}

机构：

[1] Univ Sevilla, Fac Math, Dept Ecuac Diferenciales & Analisis Numer, E-41012 Seville, Spain

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2000年 / 130卷

关键词：

D O I：

10.1017/S0308210500000147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present paper is to adapt the method of two-scale convergence to the homogenization of a pseudomonotone Dirichlet problem in perforated domains with periodic structure. The limit problem and a corrector result are obtained.

引用

页码：249 / 276

页数：28

共 50 条

[1] Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains
Douanla, Hermann
BOUNDARY VALUE PROBLEMS, 2010,
[2] Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains
Hermann Douanla
Boundary Value Problems, 2010
[3] Two-scale convergence of periodic elliptic spectral problems with indefinite density function in perforated domains
Douanla, Hermann
ASYMPTOTIC ANALYSIS, 2013, 81 (3-4) : 251 - 272
[4] The Method of Rothe and Two-Scale Convergence in Nonlinear Problems
Jiří Vala
Applications of Mathematics, 2003, 48 (6) : 587 - 606
[5] Two-scale composite finite element method for Dirichlet problems on complicated domains
M. Rech
S. Sauter
A. Smolianski
Numerische Mathematik, 2006, 102 : 681 - 708
[6] Two-scale composite finite element method for Dirichlet problems on complicated domains
Rech, M
Sauter, S
Smolianski, A
NUMERISCHE MATHEMATIK, 2006, 102 (04) : 681 - 708
[7] Asymptotic behaviour of nonlinear dirichlet problems in perforated domains
Maso G.D.
Skrypnik I.V.
Skrypnik I.V.
Annali di Matematica Pura ed Applicata, 1998, 174 (1) : 13 - 72
[8] Homogenization of nonlinear Dirichlet problems in random perforated domains
Calvo-Jurado, Carmen
Casado-Diaz, Juan
Luna-Laynez, Manuel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 133 : 250 - 274
[9] Asymptotic Behaviour of Nonlinear Dirichlet Problems in Perforated Domains
Dal Maso, Gianni
Skrypnik, Igor V.
ANNALI DI MATEMATICA PURA ED APPLICATA, 1998, 174 (01) : 13 - 72
[10] Homogenization of nonlinear Dirichlet problems in perforated domains of general structure
Zhurnal Neorganicheskoj Khimii, 423 (6-2): : 163 - 167

← 1 2 3 4 5 →