Analysis of a full space–time discretization of the Navier–Stokes equations by a local projection stabilization method
N Ahmed, TC Rebollo, V John… - IMA Journal of Numerical …, 2017 - academic.oup.com
A finite element error analysis of a local projection stabilization (LPS) method for the time-
dependent Navier–Stokes equations is presented. The focus is on the high-order term-by-
term stabilization method that has one level, in the sense that it is defined on a single mesh,
and in which the projection-stabilized structure of standard LPS methods is replaced by an
interpolation-stabilized structure. The main contribution is on proving, theoretically and
numerically, the optimal convergence order of the arising fully discrete scheme. In addition …
dependent Navier–Stokes equations is presented. The focus is on the high-order term-by-
term stabilization method that has one level, in the sense that it is defined on a single mesh,
and in which the projection-stabilized structure of standard LPS methods is replaced by an
interpolation-stabilized structure. The main contribution is on proving, theoretically and
numerically, the optimal convergence order of the arising fully discrete scheme. In addition …
[PDF][PDF] Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization
A finite element error analysis of a local projection stabilization (LPS) method for the time-
dependent Navier–Stokes equations is presented. The focus is on the highorder term-by-
term stabilization method that has one level, in the sense that it is defined on a single mesh,
and in which the projection-stabilized structure of standard LPS methods is replaced by an
interpolation-stabilized structure. The main contribution is on proving, theoretically and
numerically, the optimal convergence order of the arising fully discrete scheme. In addition …
dependent Navier–Stokes equations is presented. The focus is on the highorder term-by-
term stabilization method that has one level, in the sense that it is defined on a single mesh,
and in which the projection-stabilized structure of standard LPS methods is replaced by an
interpolation-stabilized structure. The main contribution is on proving, theoretically and
numerically, the optimal convergence order of the arising fully discrete scheme. In addition …
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