Title :
H1-Galerkin Mixed Finite Element Method for the Viscoelasticity Type Equation
Author :
Che, Haitao ; Li, Meixia
Author_Institution :
Sch. of Math. & Inf. Sci., Weifang Univ., Weifang, China
Abstract :
In this paper, an H1-Galerkin mixed finite element method is proposed to simulate the viscoelasticity type equation. The problem is considered in n-dimentional (n<4) space, respectively. The optimal error estimates are also established. In particular, our methods can simultaneously approximate the scalar unknown and the vector flux effectively, without requiring the LBB consistency condition.
Keywords :
Galerkin method; finite element analysis; viscoelasticity; H1-Galerkin mixed finite element method; LBB consistency condition; n-dimentional space; optimal error estimates; vector flux; viscoelasticity-type equation; Automatic control; Automation; Control system synthesis; Elasticity; Equations; Finite element methods; Information science; Mathematics; Moment methods; Viscosity; H1- Galerkin mixed finite element method; optimal error estimates; viscoelasticity type equation;
Conference_Titel :
Control, Automation and Systems Engineering, 2009. CASE 2009. IITA International Conference on
Conference_Location :
Zhangjiajie
Print_ISBN :
978-0-7695-3728-3
DOI :
10.1109/CASE.2009.40