An Optimal Error Estimates ofH1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation-Reference-Cited by-同舟云学术

An Optimal Error Estimates ofH1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation

Published:2011 Issue: Volume:2011 Page:1-18
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Che Haitao¹²,Wang Yiju¹,Zhou Zhaojie³

Affiliation:

1. School of Management Science, Qufu Normal University, Rizhao, Shandong 276800, China

2. School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261000, China

3. School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, China

Abstract

We investigate aH1-Galerkin mixed finite element method for nonlinear viscoelasticity equations based onH1-Galerkin method and expanded mixed element method. The existence and uniqueness of solutions to the numerical scheme are proved. A priori error estimation is derived for the unknown function, the gradient function, and the flux.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2011/570980.pdf

Reference30 articles.

1. Thermodynamics of materials with memory

2. Error estimate of fully discrete discontinuous Galerkin approximation for the viscoelasticity type equation

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