双曲型积分微分方程的非协调任意四边形H^1-Galerkin混合有限元方法  

A Nonconforming Arbitrary Quadrilateral H^1-Galerkin Mixed Finite Element Method for Hyperbolic Type Integro-differential Equation

作　　者：王海红[1] 郭城[2] 

机构地区：[1]河南财经政法大学数学与信息科学系,河南郑州450002 [2]郑州师范学院数学系,河南郑州450044

出　　处：《郑州大学学报（理学版）》2012年第4期31-34,77,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号10971203;61143002

摘　　要：针对双曲型积分微分方程问题,研究了非协调任意四边形H1-Galerkin混合有限元方法.在半离散格式下,利用所选单元本身的特点,在不需要Ritz-Volterra投影的情况下得到了与传统协调混合有限元方法相同的误差估计.A nonconforming arbitrary quadrilateral H1-Galerkin mixed finite element method for hyperbolic type integro-differential equations problem was studied.By use of the characteristic of the chosen finite elements,the same error estimates as in the traditional conforming mixed finite elements methods were derived in semi-discrete formulation without using Ritz-Volterra projection.

关 键 词：H1-Galerkin混合有限元方法 非协调有限元 双曲型积分微分方程 误差估计 

分 类 号：O242.21[理学—计算数学]