Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field | Zendy

Yidu Yang | Zendy; Yu Zhang | Zendy; Hai Bi | Zendy

Open Access

Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field

Author(s) -

Yidu Yang,

Yu Zhang,

Hai Bi

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/190768

Subject(s) - rayleigh quotient iteration , discretization , mathematics , multigrid method , eigenvalues and eigenvectors , finite element method , inverse iteration , divide and conquer eigenvalue algorithm , rayleigh quotient , iterative method , field (mathematics) , grid , algorithm , mathematical analysis , power iteration , geometry , partial differential equation , pure mathematics , physics , quantum mechanics , thermodynamics

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

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