MULTIPLICATIVE SCHWARZ ALGORITHM WITH TIME STEPPING ALONG CHARACTERISTIC FOR CONVECTION DIFFUSION EQUATIONS

• 来源期刊: 计算数学(英文版)
• 学科: 数学
• 关键词: Multiplicative Schwarz method Convection diffusion equation Characteristic
• 年，卷（期）: 2001,（5）
• 页码范围: 501-510
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

Based on domain decomposition, we give two multiplicative schwarz methods with time stepping along characteristic for semi-linear, convection diffusion parabolic problems. we give some a priori error estimates, which tell us that the convergence of the approximate solution are independent of the iteration times at every time-level. Finally we give some numerical examples.