Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field
This paper discusses highly finite element algorithms for the eigenvalue problem of electric field. Combining the mixed finite element method with the Rayleigh quotient iteration method, a new multi-grid discretization scheme and an adaptive algorithm are proposed and applied to the eigenvalue probl...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/190768 |
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| _version_ | 1832566413848477696 |
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| author | Yidu Yang Yu Zhang Hai Bi |
| author_facet | Yidu Yang Yu Zhang Hai Bi |
| author_sort | Yidu Yang |
| collection | DOAJ |
| description | This paper discusses highly finite element algorithms for the eigenvalue problem of electric field. Combining the mixed finite element method with the Rayleigh quotient iteration method, a new multi-grid discretization scheme and an adaptive algorithm are proposed and applied to the eigenvalue problem of electric field. Theoretical analysis and numerical results show that the computational schemes established in the paper have high efficiency. |
| format | Article |
| id | doaj-art-7b53eb916a0b4409b02833d29d8ab44b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7b53eb916a0b4409b02833d29d8ab44b2025-02-03T01:04:18ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/190768190768Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric FieldYidu Yang0Yu Zhang1Hai Bi2School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, ChinaSchool of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, ChinaSchool of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, ChinaThis paper discusses highly finite element algorithms for the eigenvalue problem of electric field. Combining the mixed finite element method with the Rayleigh quotient iteration method, a new multi-grid discretization scheme and an adaptive algorithm are proposed and applied to the eigenvalue problem of electric field. Theoretical analysis and numerical results show that the computational schemes established in the paper have high efficiency.http://dx.doi.org/10.1155/2012/190768 |
| spellingShingle | Yidu Yang Yu Zhang Hai Bi Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field Abstract and Applied Analysis |
| title | Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field |
| title_full | Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field |
| title_fullStr | Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field |
| title_full_unstemmed | Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field |
| title_short | Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field |
| title_sort | multigrid discretization and iterative algorithm for mixed variational formulation of the eigenvalue problem of electric field |
| url | http://dx.doi.org/10.1155/2012/190768 |
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