A modified upwind difference domain decomposition method for convection-diffusion equations

作者：Li Changfeng^*; Yuan Yirang

来源：Applied Numerical Mathematics, 2009, 59(7): 1584-1598.

DOI：10.1016/j.apnum.2008.11.001

• Convection-diffusion
• Domain decomposition
• Parallel computation
• Modified upwind differences
• Error estimates

A new, efficient and noniterative type of domain decomposition method is presented for three-dimensional convection-diffusion equations, whose convection term is handled by modified upwind differences. The whole domain is decomposed into several nonoverlapping subdomains. The values on inter-domain boundaries are calculated by reduced-dimensional solver and the solutions in subdomains are computed by implicit upwind procedures completely in parallel. With certain weakened stability constraint, error estimates in discrete l(2) norm is discussed by introducing new inner products and techniques of prior estimates. Finally, the theoretical results are illustrated by linear and nonlinear numerical experiments.

• 出版日期2009-7
• 单位山东大学