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二阶双曲方程Raviart-Thomas混合元解的整体超收敛分析
引用本文:梁庆利,张亚东.二阶双曲方程Raviart-Thomas混合元解的整体超收敛分析[J].河南科学,2008,26(7).
作者姓名:梁庆利  张亚东
作者单位:许昌学院,数学科学学院,河南,许昌,461000
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.

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

Analysis for the Global Superconvergence of the Raviart-Thomas Mixed Element Solution to Second Order Hyperbolic Equation
Liang Qingli,Zhang Yadong.Analysis for the Global Superconvergence of the Raviart-Thomas Mixed Element Solution to Second Order Hyperbolic Equation[J].Henan Science,2008,26(7).
Authors:Liang Qingli  Zhang Yadong
Institution:Liang Qingli,Zhang Yadong(School of Mathematical Sciences,Xuchang University,Xuchang 461000,Henan China)
Abstract: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.
Keywords:integral identity  second order hyperbolic equation  Raviart-Thomas element  superconvergence  a posteriori error estimate  
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