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Crank-Nicolson Fully Discrete -Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model

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  • Fengxin Chen

Abstract

We consider a fully discrete -Galerkin mixed finite element approximation of one nonlinear integrodifferential model which often arises in mathematical modeling of the process of a magnetic field penetrating into a substance. We adopt the Crank-Nicolson discretization for time derivative. Optimal order a priori error estimates for the unknown function in and norm and its gradient function in norm are presented. A numerical example is given to verify the theoretical results.

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  • Fengxin Chen, 2014. "Crank-Nicolson Fully Discrete -Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, May.
    • Handle: RePEc:hin:jnlaaa:534902
    DOI: 10.1155/2014/534902
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