A MULTISCALE FINITE ELEMENT METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS POSED IN DOMAINS WITH ROUGH BOUNDARIES

被引：8
|
作者：
Madureira, Alexandre L. [1 ]
机构：
[1] Lab Nacl Comp Cient, BR-25651070 Petropolis, RJ, Brazil
来源：
MATHEMATICS OF COMPUTATION | 2009年 / 78卷 / 265期
关键词：
ELLIPTIC PROBLEMS; STOKES EQUATIONS; LAMINAR FLOWS; WALL LAWS; APPROXIMATION; DECOMPOSITION; CONVERGENCE; DIFFRACTION;
D O I：
10.1090/S0025-5718-08-02159-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose and analyze a finite element scheme of multiscale type to deal with elliptic partial differential equations posed in domains with rough boundaries. There is no need to assume that the boundary is periodic in any sense, so the method is quite general. On the other hand, if the boundary is periodic we prove convergence of the scheme.
引用
收藏
页码：25 / 34
页数：10
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