English

Convergence Analysis of a Class of Massively Parallel Direction Splitting Algorithms for the Navier-Stokes Equations

Numerical Analysis 2011-01-20 v1

Abstract

We provide a convergence analysis for a new fractional time-stepping 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.

Keywords

Cite

@article{arxiv.1101.3587,
  title  = {Convergence Analysis of a Class of Massively Parallel Direction Splitting Algorithms for the Navier-Stokes Equations},
  author = {Jean-Luc Guermond and Peter D. Minev and Abner J. Salgado},
  journal= {arXiv preprint arXiv:1101.3587},
  year   = {2011}
}