Algebraic Sub-structuring for Electromagnetic Applications | Zendy

Chao Yang | Zendy; Weiguo Gao | Zendy; Zhaojun Bai | Zendy; Xiaoye Sherry Li | Zendy; LieQuan Lee | Zendy; Parry Husbands | Zendy; Esmond Ng | Zendy

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Algebraic Sub-structuring for Electromagnetic Applications

Author(s) -

Chao Yang,

Weiguo Gao,

Zhaojun Bai,

Xiaoye Sherry Li,

LieQuan Lee,

Parry Husbands,

Esmond Ng

Publication year - 2006

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-29067-2

DOI - 10.1007/11558958_43

Subject(s) - structuring , computer science , block matrix , eigenvalues and eigenvectors , algebraic number , matrix (chemical analysis) , sparse matrix , algebra over a field , algorithm , block (permutation group theory) , theoretical computer science , mathematics , pure mathematics , geometry , physics , mathematical analysis , finance , economics , materials science , quantum mechanics , composite material , gaussian

Algebraic sub-structuring refers to the process of applying matrix reordering and partitioning algorithms to divide a large sparse matrix into smaller submatrices from which a subset of spectral components are extracted and combined to form approximate solutions to the original problem. In this paper, we show that algebraic sub-structuring can be effectively used to solve generalized eigenvalue problems arising from the finite element analysis of an accelerator structure.

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