二阶双曲方程Raviart-Thomas混合元解的整体超收敛分析  

Analysis for the Global Superconvergence of the Raviart-Thomas Mixed Element Solution to Second Order Hyperbolic Equation

作　　者：梁庆利[1] 张亚东[1] 

机构地区：[1]许昌学院数学科学学院,河南许昌461000

出　　处：《河南科学》2008年第7期757-760,共4页Henan Science

基　　金：河南省自然科学基金(072300440190)

摘　　要：利用积分恒等式和插值后处理技术,对具有Dirchlet边值问题的二阶双曲方程,采用一阶Raviart-Thomas混合有限元,得到了整体超收敛,并给出了后验误差估计.其收敛于精确解的速度由二阶提高到四阶.The first order Raviart-Thomas mixed finite element approximation to second order hyperbolic equationwith Dirchlet boundary value problem is discussed. The global superconvergence is obtained and the posteriori error estimates are also derived by the integral identities and the interpolated post processing technique. As a result, the convergence rate is of the solution and its gradient of the solution improved from second order to fourth order.

关 键 词：积分恒等式 二阶双曲方程 Raviart-Thomas元 超收敛 后验误差估计 

分 类 号：O242.21[理学—计算数学]