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AIMS Mathematics

2023, Volume 8, Issue 12: 30501-30510. doi: 10.3934/math.20231558
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Structured backward errors analysis for generalized saddle point problems arising from the incompressible Navier-Stokes equations

  • School of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang 441053, China
  • Received: 08 April 2023 Revised: 10 May 2023 Accepted: 23 May 2023 Published: 10 November 2023

  • MSC : 15A06, 65F10, 65F50, 65G50

  • Recently, a number of fast iteration methods for the solution of the structured linear system arising from the incompressible Navier-Stokes equations have been proposed by some authors. In order to evaluate the strong stability of these numerical algorithms, in this paper we deal with the structured backward error analysis for this type of structured linear system and present the explicit formula of the structured backward error. Based on the structured backward error, we perform some numerical experiments to compare the availability of some existing numerical algorithms.

    Citation: Peng Lv. Structured backward errors analysis for generalized saddle point problems arising from the incompressible Navier-Stokes equations[J]. AIMS Mathematics, 2023, 8(12): 30501-30510. doi: 10.3934/math.20231558

    Related Papers:

  • Recently, a number of fast iteration methods for the solution of the structured linear system arising from the incompressible Navier-Stokes equations have been proposed by some authors. In order to evaluate the strong stability of these numerical algorithms, in this paper we deal with the structured backward error analysis for this type of structured linear system and present the explicit formula of the structured backward error. Based on the structured backward error, we perform some numerical experiments to compare the availability of some existing numerical algorithms.


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