Error estimate of the P-1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations. / Lu, Xiliang; Lin, Ping.
In: Numerische Mathematik, Vol. 115, No. 2, 2010, p. 261-287.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Error estimate of the P-1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations
A1 - Lu,Xiliang
A1 - Lin,Ping
AU - Lu,Xiliang
AU - Lin,Ping
PY - 2010
Y1 - 2010
N2 - <p>We consider a finite element method for the penalty formulation of the time dependent Navier-Stokes equations. Usually the improper choice of the finite element space will lead that the error estimate (inversely) depends on the penalty parameter epsilon. We use the classical P-1 nonconforming finite element space for the spatial discretization. Optimal epsilon-uniform error estimations for both velocity and pressure are obtained.</p>
AB - <p>We consider a finite element method for the penalty formulation of the time dependent Navier-Stokes equations. Usually the improper choice of the finite element space will lead that the error estimate (inversely) depends on the penalty parameter epsilon. We use the classical P-1 nonconforming finite element space for the spatial discretization. Optimal epsilon-uniform error estimations for both velocity and pressure are obtained.</p>
KW - SEQUENTIAL REGULARIZATION METHOD
KW - APPROXIMATION
KW - FORMULATION
KW - DYNAMICS
KW - FLOWS
U2 - 10.1007/s00211-009-0277-8
DO - 10.1007/s00211-009-0277-8
M1 - Article
JO - Numerische Mathematik
JF - Numerische Mathematik
SN - 0029-599X
IS - 2
VL - 115
SP - 261
EP - 287
ER -