Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/534902 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |