Solving Large Scale Nonlinear Eigenvalue Problem in Next-Generation Accelerator Design | Zendy

BenShan Liao | Zendy; Zhaojun Bai | Zendy; LieQuan Lee | Zendy; Kwok Ko | Zendy

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Solving Large Scale Nonlinear Eigenvalue Problem in Next-Generation Accelerator Design

Author(s) -

BenShan Liao,

Zhaojun Bai,

LieQuan Lee,

Kwok Ko

Publication year - 2006

Language(s) - English

Resource type - Reports

DOI - 10.2172/892592

Subject(s) - nonlinear system , eigenvalues and eigenvectors , inverse iteration , algorithm , arnoldi iteration , iterative method , finite element method , scale (ratio) , mathematics , inverse , mathematical optimization , projection (relational algebra) , computer science , generalized minimal residual method , physics , geometry , quantum mechanics , thermodynamics

A number of numerical methods, including inverse iteration, method of successive linear problem and nonlinear Arnoldi algorithm, are studied in this paper to solve a large scale nonlinear eigenvalue problem arising from finite element analysis of resonant frequencies and external Q{sub e} values of a waveguide loaded cavity in the next-generation accelerator design. They present a nonlinear Rayleigh-Ritz iterative projection algorithm, NRRIT in short and demonstrate that it is the most promising approach for a model scale cavity design. The NRRIT algorithm is an extension of the nonlinear Arnoldi algorithm due to Voss. Computational challenges of solving such a nonlinear eigenvalue problem for a full scale cavity design are outlined

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