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Original Articles

Mesh independence of the condition number of discrete galerkin systems by preconditioning

Pages 127-132 | Published online: 19 Mar 2007
 

Abstract

In the paper [1] the author proves that preconditioning the discrete Galerkin system by the Choleski factors of the Gramian we obtain a mesh independent condition number. In the present paper we generalize this method by using the Choleski factors of a term from a special splitting of the Gramian. Thus, we obtain the method from [1] like a particular case. We also observe that such a kind of splitting can be obtained by an incomplete Choleski decomposition of the Gramian.

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