摘要
研究在半离散和全离散格式下,半线性伪双曲方程最低阶的协调H^1-Galerkin混合有限元逼近.具体地,用双线性元逼近原始变量u,用零阶Raviart-Thomas(R-T)元逼近流量p.首先通过泰勒展式和积分恒等式技巧得到了p的一个新的误差估计式.然后,导出了u在H^1模和p在H(div;Ω)模意义下的超逼近性质,改进了已有文献的结果.
The main aim of this paper is to study the approximation of the low- est order conforming H1-Galerkin mixed finite element (FE) to semi-linear pseudo- hyperbolic equation for semi-discrete and fully-discrete schemes. In detail, the bilinear FE is used to approximate the original variable u and the zero order Raviart-Thomas (R-T) FE to the flux variable p(→). A new error estimate is firstly established for p(→) through Taylor's expansion and integral identity techniques. Then, the superclose properties are deduced for u in Hi-norm and for p(→) in H(div; Ω) norm which improve the results obtained in the existing literature.
出处
《系统科学与数学》
CSCD
北大核心
2015年第5期514-526,共13页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10971203
11101381
1127340)
许昌市科技局项目(1504002)
许昌学院青年骨干教师项目资助课题