周期结构带阻尼项椭圆边值问题的双尺度渐近误差分析  

Two-Scale Asymptotic Error Analysis of Elliptic Boundary Value Problem with Damping Term for Periodic Structures

作　　者：李志青 李远飞 张文彬 Li Zhiqing;Li Yuanfei;Zhang Wenbin(Guangzhou Huashang College,Guangzhou 511300,China)

机构地区：[1]广州华商学院,广东广州511300

出　　处：《海南大学学报（自然科学版）》2021年第4期325-330,共6页Natural Science Journal of Hainan University

基　　金：国家自然科学基金(11671304);广东省自然科学基金(2017A030313037);广东省教育厅青年创新人才项目(2021KQNCX134);广州华商学院科研团队项目(2021HSKT01);广州华商学院校内导师制计划资助项目(2021HSDS13)。

摘　　要：利用双尺度方法对周期结构带阻尼项椭圆边值问题的偏微分方程组进行了双尺度渐近展开分析,得到了对应问题的均匀化方程和均匀化常数,并分析了双尺度渐近解的误差估计.根据误差分析,得到双尺度解更加逼近于近似解的结论.In the report,the two-scale asymptotic expansion analysis of partial differential equations with damping term for elliptic boundary value problems with periodic structures was performed with the two-scale method,and the homogenization equations and homogenization constants of the corresponding problems were obtained.The error estimates of the two-scale asymptotic solutions were also analyzed.According to the error analysis,the conclusion that the two-scale solution is closer to the approximate solution was obtained.

关 键 词：椭圆边值问题 双尺度 均匀化 误差分析 

分 类 号：O241.5[理学—计算数学] O241.82[理学—数学]