A finite element implementation of the GePUP pressure-Poisson reformulation of the Navier-Stokes equations is shown to reach fourth- and fifth-order accuracy with equal-order velocity-pressure elements and no inf-sup condition.
Devlin, The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time, Basic Books, New York, 2003
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.NA 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions
A finite element implementation of the GePUP pressure-Poisson reformulation of the Navier-Stokes equations is shown to reach fourth- and fifth-order accuracy with equal-order velocity-pressure elements and no inf-sup condition.