二阶抛物积分-微分方程的扩展混合时间间断元法  

Expanded Mixed Time Discontinuous Element Method for Two-Order Parabolic Integro-Differential Equation

作　　者：王金凤[1] 毕远宏[1] 

机构地区：[1]内蒙古财经大学统计与数学学院,呼和浩特010070

出　　处：《现代计算机（中旬刊）》2012年第7期7-9,18,共4页Modern Computer

基　　金：内蒙古财经大学科研项目(No.KY1101)

摘　　要：构造和分析二阶抛物型积分微分方程的扩展混合时间间断有限元方法。利用扩展混合有限元方法将方程降阶,利用空间连续而时间允许间断的时空有限元方法离散方程,给出L2(J,L2(Ω))模误差估计证明。Proposes and analyses an expanded mixed time discontinuous finite element method for two- order parabolic partial integro-differential equation. The lower order equation is obtained by expanded mixed finite element method, and the equation is discretized by space-time finite element method which is continuous in space but discontinuous in time. Gives the proofs of the error estimates in the norm of L2（J,L2（Ω））.

关 键 词：抛物积分微分方程 扩展混合方法 时间间断元方法 误差估计 

分 类 号：O241.82[理学—计算数学]