RT info:eu-repo/semantics/article
T1 Error Analysis of Non Inf-sup Stable Discretizations of the time-dependent Navier--Stokes Equations with Local Projection Stabilization
A1 Frutos Baraja, Francisco Javier de
A1 García Archilla, Juan Bosco
A1 John, Volker
A1 Novo, Julia
AB This paper studies non inf-sup stable  nite element approximations to the evolutionaryNavier{Stokes equations. Several local projection stabilization (LPS) methods correspondingto di erent stabilization terms are analyzed, thereby separately studying the e ects ofthe di erent stabilization terms. Error estimates are derived in which the constants in theerror bounds are independent of inverse powers of the viscosity. For one of the methods,using velocity and pressure  nite elements of degree l, it will be proved that the velocityerror in L1(0; T;L2()) decays with rate l + 1=2 in the case that     h, with   beingthe dimensionless viscosity and h the mesh width. In the analysis of another method, itwas observed that the convective term can be bounded in an optimal way with the LPSstabilization of the pressure gradient. Numerical studies con rm the analytical results.
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/39065
UL http://uvadoc.uva.es/handle/10324/39065
LA spa
NO IMA Journal of Numerical Analysis 39(4), 2019, 1747-1786
DS UVaDOC
RD 23-nov-2024