Meyers type estimates for approximate solutions of nonlinear elliptic equations and their applications

被引：0

作者：

Efendiev, Yalchin ^{[1
]}

Pankov, Alexander

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2006年 / 6卷 / 03期

关键词：

elliptic; nonlinear; finite element;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain Meyers type regularity estimates for approximate solutions of nonlinear elliptic equations. These estimates axe used in the analysis of a numerical scheme obtained from a numerical homogenization of nonlinear elliptic equations. Numerical homogenization of nonlinear elliptic equations results in discretization schemes that require additional integrability of the approximate solutions. The latter motivates our work.

引用

页码：481 / 492

页数：12

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