Title :
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
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;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002357
