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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| Format: | Article |
| Language: | English |
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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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| author | Fengxin Chen |
| author_facet | Fengxin Chen |
| author_sort | Fengxin Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f111344efdd1424dab4d45a63ae89dca |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f111344efdd1424dab4d45a63ae89dca2025-02-03T01:33:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/534902534902Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential ModelFengxin Chen0School of Science, Shandong Jiaotong University, Jinan 250357, ChinaWe 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.http://dx.doi.org/10.1155/2014/534902 |
| spellingShingle | Fengxin Chen Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model Abstract and Applied Analysis |
| title | Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model |
| title_full | Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model |
| title_fullStr | Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model |
| title_full_unstemmed | Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model |
| title_short | Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model |
| title_sort | crank nicolson fully discrete h1 galerkin mixed finite element approximation of one nonlinear integrodifferential model |
| url | http://dx.doi.org/10.1155/2014/534902 |
| work_keys_str_mv | AT fengxinchen cranknicolsonfullydiscreteh1galerkinmixedfiniteelementapproximationofonenonlinearintegrodifferentialmodel |