Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains

Jean-Luc Guermond, Peter D. Minev, Abner J. Salgado

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We provide a convergence analysis for a new fractional timestepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of linear complexity, unconditionally stable and convergent, and suitable for massive parallelization. © 2012 American Mathematical Society.
Original languageEnglish (US)
Pages (from-to)1951-1977
Number of pages27
JournalMathematics of Computation
Volume81
Issue number280
DOIs
StatePublished - 2012
Externally publishedYes

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