Biquadric finite element method for parabolic integro-differential equations

Author

Jingyu, Liao ; Fenling, Wang ; Yanmin, Zhao

Author_Institution

Sch. of Math. & Stat., Xuchang Univ., Xuchang, China

fYear

2011

fDate

26-28 July 2011

Firstpage

5760

Lastpage

5762

Abstract

Biquadric finite element approximation is established for parabolic integro-differential equations. Based on high accuracy analysis of the element, the superclose property is derived for semi-discrete scheme. Moreover, optimal error estimate is obtained by the interpolation technique instead of the Ritz-Volterra projection which is necessary for classical error estimates of finite element method. Finally, optimal error estimate is deduced for backward Euler discrete scheme.

Keywords

finite element analysis; integro-differential equations; interpolation; parabolic equations; Ritz-Volterra projection; backward Euler discrete scheme; biquadric finite element method; finite element approximation; interpolation technique; optimal error estimation; parabolic integro-differential equations; superclose property; Accuracy; Differential equations; Equations; Finite element methods; Interpolation; Biquadric finite element; optimal error estimate; parabolic integro-differential equations; semi-discrete and backward Euler schemes; superclose property;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002357

Filename

6002357