Corpus ID: 125505068

A finite element method with edge oriented stabilization for the time-dependent Navier-Stokes equations: space discretization and convergence

@inproceedings{Burman2005AFE,
  title={A finite element method with edge oriented stabilization for the time-dependent Navier-Stokes equations: space discretization and convergence},
  author={Erik Burman and Miguel Angel Fern{\'a}ndez},
  year={2005}
}
  • Erik Burman, Miguel Angel Fernández
  • Published 2005
  • Mathematics
  • This work focuses on the numerical analysis of a finite element method with edge oriented stabilization for the unsteady incompressible Navier-Stokes equations. Incompressibility and convective effects are both stabilized adding an interior penalty term giving $L^2$-control of the jump of the gradient of the approximate solution over the internal edges. Using continuous equal-order finite elements for both velocities and pressures, in a space semi-discretized formulation, we prove convergence… CONTINUE READING

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