Crank‐Nicolson Fully Discrete H1‐Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model

Fengxin Chen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider a fully discrete H1‐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 L2 and H1 norm and its gradient function in L2 norm are presented. A numerical example is given to verify the theoretical results.

Date: 2014
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https://doi.org/10.1155/2014/534902

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:534902

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