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• W2750372231 endingPage "A1513" @default.
• W2750372231 startingPage "A1489" @default.
• W2750372231 abstract "This paper studies a new alteration of Yosida algebraic splitting methods for the Navier--Stokes equations. By applying the usual or pressure-corrected Yosida splitting techniques to discretizations written in terms of velocity and pressure updates $(u^{n+1}-u^n,p^{n+1}-p^n)$, we show that the accuracy is increased by one full order in $Delta t$ without any additional cost in the respective methods. Proofs of the convergence results are given both in linear algebraic and finite element frameworks. Several numerical tests are given which reveal the (sometimes dramatic) improvement in accuracy offered by the proposed fix." @default.
• W2750372231 created "2017-08-31" @default.
• W2750372231 creator A5028355904 @default.
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• W2750372231 date "2017-01-01" @default.
• W2750372231 modified "2023-09-30" @default.
• W2750372231 title "Improved Accuracy in Algebraic Splitting Methods for Navier--Stokes Equations" @default.
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• W2750372231 doi "https://doi.org/10.1137/16m1061424" @default.
• W2750372231 hasPublicationYear "2017" @default.
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