An Optimal Error Estimates of H1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation

الملخص EN

We investigate a H1-Galerkin mixed finite element method for nonlinear viscoelasticity equations based on H1-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.