RT info:eu-repo/semantics/article
T1 Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier–Stokes Equations
A1 de Frutos, Javier
A1 García-Archilla, Bosco
A1 Novo, Julia
K1 Matemáticas
K1 Análisis Numérico
K1 Projection methods
K1 non inf-sup stable elements
K1 Navier-Stokes equations
K1 PSPG stabilization
K1 1206 Análisis Numérico
AB We obtain error bounds for a modi ed Chorin-Teman (Euler non-incremental) method for non inf-sup stable mixed  nite elements ap-plied to the evolutionary Navier-Stokes equations. The analysis ofthe classical Euler non-incremental method is obtained as a particu-lar case. We prove that the modi ed Euler non-incremental schemehas an inherent stabilization that allows the use of non inf-sup stablemixed  nite elements without any kind of extra added stabilization.We show that it is also true in the case of the classical Chorin-Temammethod. The relation of the methods with the so called pressure sta-bilized Petrov Galerkin method (PSPG) is established. We do notassume non-local compatibility conditions for the solution.
SN 0885-7474
YR 2017
FD 2017
LK https://uvadoc.uva.es/handle/10324/64489
UL https://uvadoc.uva.es/handle/10324/64489
LA eng
NO Journal of Scientific Computing, vol 74, p. 426-455
DS UVaDOC
RD 07-ago-2024