标题：Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids
作者：Li, Xiaoli; Rui, Hongxing
作者机构：[Li, Xiaoli; Rui, Hongxing] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
通讯作者：Rui, Hongxing;Rui, HX
通讯作者地址：[Rui, HX]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源：APPLIED MATHEMATICS AND COMPUTATION
关键词：Characteristic MAC scheme; Stability; Oseen equations; Post-processing;; Non-uniform grids
摘要：In this paper, we establish the LBB condition and stability for both velocity and pressure of characteristic MAC scheme for the Oseen equations on non-uniform grids. We obtain the second order convergence in discrete L-2 norm for both velocity and pressure and the first order convergence in discrete H-1 norm for velocity. Moreover, we construct the post-processing characteristic MAC scheme to obtain second order accuracy in discrete H-1 norm for the velocity. Finally, some numerical experiments are presented to show the correctness and accuracy of the MAC scheme. (c) 2018 Elsevier Inc. All rights reserved.