An Optimal Error Estimates of H-1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation

Che, Haitao<sup>*</sup>; Wang, Yiju; Zhou, Zhaojie

doi:10.1155/2011/570980

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An Optimal Error Estimates of H-1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation

作者：Che, Haitao^*; Wang, Yiju; Zhou, Zhaojie

来源：Mathematical Problems in Engineering, 2011, 2011: 570980.

DOI：10.1155/2011/570980

摘要

We investigate a H-1-Galerkin mixed finite element method for nonlinear viscoelasticity equations based on H-1-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.