A domain decomposition method based on the iterative operator splitting method

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• 作者：Jü ; rgen Geiser ; Christos Kravvaritis
• 关键词：Numerical analysis ; Operator splitting method ; Initial value problems ; Iterative solver method ; Stability analysis ; Convection– ; diffusion– ; reaction equation
• 刊名：Applied Numerical Mathematics
• 出版年：2009
• 出版时间：March-April 2009
• 年：2009
• 卷：59
• 期：3-4
• 页码：608-623
• 全文大小：199 K

文摘

In this article a new approach is proposed for constructing a domain decomposition method based on the iterative operator splitting method. The convergence properties of such a method are studied. The main feature of the proposed idea is the decoupling of space and time. We present a multi-iterative operator splitting method that combines iteratively the space and time splitting. We confirm with numerical applications the effectiveness of the proposed iterative operator splitting method in comparison with the classical Schwarz waveform relaxation method as a standard method for domain decomposition. We provide improved results and convergence rates.