TWO-SCALE FEM FOR ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

• 来源期刊: 计算数学(英文版)
• 学科: 数学
• 关键词: Two-scale FEM Mixed boundary value Small periodic coefficients.
• 年，卷（期）: 2001,（5）
• 页码范围: 549-560
• 页数: 12页
• 分类号: O1
• 语种: 英文

摘要

In this paper, a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic PDE with small periodic coefficients is proposed. Meanwhile the error estimate of the dual approximate solution is discussed. Finally, a high-low order coupled two-scale finite element method is given, and its approximate error is analysed.