RT info:eu-repo/semantics/article
T1 Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization
A1 Frutos Baraja, Francisco Javier de
A1 García Archilla, Juan Bosco
A1 Novo, Julia
AB This paper studies fully discrete approximations to the evolutionary Navier{Stokes equations by means of inf-sup stable H1-conforming mixed  nite elementswith a grad-div type stabilization and the Euler incremental projection method intime. We get error bounds where the constants do not depend on negative powersof the viscosity. We get the optimal rate of convergence in time of the projectionmethod. For the spatial error we get a bound O(hk) for the L2 error of the velocity,k being the degree of the polynomials in the velocity approximation. We provenumerically that this bound is sharp for this method.
SN 0885-7474
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/37936
UL http://uvadoc.uva.es/handle/10324/37936
LA spa
NO Journal of Scientific Computing. 80 (2019), 1330-1368
DS UVaDOC
RD 23-nov-2024