A modified RBULT preconditioner for generalized saddle point problems from the hydrodynamic equations

Jiangchao Wei and Changfeng Ma

Applied Mathematics and Computation, 2024, vol. 478, issue C

Abstract: Recently, Li et al. [27] studied the hydrodynamic equations, proposed a relaxed block upper-lower triangular (RBULT) preconditioner. In this paper, we presented a modified relaxed block upper-lower triangular (MRBULT) preconditioner, which is an extension of the RBULT preconditioner. The advantage of this preconditioner is that it retains the computational advantage of RBULT preconditioner, and the choice of optimal parameters is simpler. We analyze the eigenvalue distribution and an upper bound of the degree of the minimal polynomial of the preconditioned matrix. Furthermore, the selection of the optimal parameter α and β are given. Finally, the theoretical analysis is proven by numerical examples, which has more advantages than previous existing preconditioners.

Keywords: Hydrodynamic equations; Generalized saddle point problems; Modified RBULT preconditioner; Optimal parameter; Eigenvalue distribution (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:478:y:2024:i:c:s009630032400287x

DOI: 10.1016/j.amc.2024.128826

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