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

Fengxin Chen

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:534902

DOI: 10.1155/2014/534902

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