a note on the eigenvalue analysis of the simple preconditioning for incompressible flow

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ID: 214123
2012
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Abstract
We consider the SIMPLE preconditioning for block two-by-two generalized saddle point problems; this is the general nonsymmetric, nonsingular case where the (1,2) block needs not to equal the transposed (2,1) block, and the (2,2) block may not be zero. The eigenvalue analysis of the SIMPLE preconditioned matrix is presented. The relationship between the two different formulations spectrum of the SIMPLE preconditioned matrix is established by using the theory of matrix eigenvalue, and some corresponding results in recent article by Li and Vuik (2004) are extended.
Reference Key
wu2012journala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Shi-Liang Wu;Feng Chen;Xiao-Qi Niu
Journal Chemico-biological interactions
Year 2012
DOI
10.1155/2012/564132
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