Title :
An expanded mixed finite element method for nonlinear non-Fickian diffusion in viscoelastic polymers
Author :
Wang, Yiqing ; Chen, Huanzhen
Author_Institution :
Sch. of Math. Sci., Shandong Normal Univ., Jinan, China
Abstract :
In this paper we develop an expanded mixed finite element method for nonlinear non-Fickian diffusion model in viscoelastic polymers. The method can approximate the unknown function, its gradient and its flux. Optimal order error estimates in L2-norm for the unknown function, its gradient and its flux are obtained.
Keywords :
diffusion; finite element analysis; polymers; viscoelasticity; expanded mixed finite element method; non-Fickian diffusion; optimal order; viscoelastic polymers; Approximation methods; Equations; Mathematical model; Numerical models; Plastics; Stress; Vectors;
Conference_Titel :
Information Science and Technology (ICIST), 2012 International Conference on
Conference_Location :
Hubei
Print_ISBN :
978-1-4577-0343-0
DOI :
10.1109/ICIST.2012.6221653