摘要
采用非协调单元EQ^(rot)_1及零阶Raviart-Thomas元(EQ^(rot)_1+Q_(10)×Q_(01)),对2-维Ginzburg-Landau方程讨论了一种H^1-Galerkin混合有限元方法.在半离散和线性化Euler全离散格式下,分别有技巧地导出了原始变量u在H^1模意义下及流量■在H(div;Ω)模意义下的超逼近性质.最后,给出两个数值算例验证了理论结果.
EQ^rot1 nonconforming finite element and zero order Raviart-Thomas element are applied to discuss an H^1- Galerkin mixed finite element method(MFEM) for the two-dimension Ginzburg-Landau equations. The superclose results of original variant u in H^1 -norm and flux variant H(div;Ω) in L^2-norm are derived technically under the semi-discrete scheme and the linearized Euler fully-discrete scheme. At last,numerical experiment is included to illustrate the feasibility of the proposed method.
作者
赵明霞
李庆富
石东洋
ZHAO Mingxia;LI Qingfu;SHI Dongyang(School of Mathematics and Statistics,Pingdingshan University,Pingdingshan 467000,China;School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China)
出处
《信阳师范学院学报(自然科学版)》
CAS
北大核心
2019年第1期17-22,共6页
Journal of Xinyang Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11271340)