An Efficient Explicit/Implicit Domain Decomposition Method for Convection-Diffusion Equations

作者：Zhu Liyong^*; Yuan Guangwei; Du Qiang

来源：Numerical Methods for Partial Differential Equations, 2010, 26(4): 852-873.

DOI：10.1002/num.20461

• convergence analysis
• domain decomposition
• explicit-implicit scheme
• modified upwind differences
• parallel algorithm
• predictor-corrector

A nonoverlapping domain decomposition method for some time-dependent convection-diffusion equations is presented. It combines predictor-corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustrate the stability, accuracy, and parallelism.

• 出版日期2010-7
• 单位北京应用物理与计算数学研究所