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

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  • Haitao Che
  • Yiju Wang
  • Zhaojie Zhou

Abstract

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

Suggested Citation

  • Haitao Che & Yiju Wang & Zhaojie Zhou, 2011. "An Optimal Error Estimates of H 1 -Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-18, October.
    • Handle: RePEc:hin:jnlmpe:570980
    DOI: 10.1155/2011/570980
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