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NUMERICAL ANALYSIS OF A BDF2 MODULAR GRAD-DIV STABILITY METHOD FOR THE STOKES/DARCY EQUATIONS

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摘要 In this paper,a BDF2 modular grad-div algorithm for the Stokes/Darcy model is constructed.This method not only effectively avoids solver breakdown,but also increases computational efficiency for increasing parameter values.Herein,complete stability and error analysis are provided.Finally,some numerical tests are proposed to justify the theoretical analysis.
作者 Jiangshan WANG Lingxiong MENG Xiaofeng JIA Hongen JIA 王江珊;孟令雄;贾晓峰;贾宏恩(College of Mathematics,Taiyuan University of Technology,Tai'yuan 030024,China;School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2022年第5期1981-2000,共20页 数学物理学报(B辑英文版)
基金 Supported by the Provincial Natural Science Foundation of Shanxi(201901D111123) Key Research and Development(R&D)Projects of Shanxi Province(201903D121038).
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