This work deals with a posteriori error estimates for the Navier–Stokes equations. We propose a finite element discretization relying on the Galerkin method and we solve the discrete problem using an iterative method. Two sources of error appear, the discretization error and the linearization error. Balancing these two errors is very important to avoid performing an excessive number of iterations. Several numerical tests are provided to evaluate the efficiency of our indicators.
DOI: 10.1051/m2an/2015062
Keywords: A posteriori error estimation, Navier–Stokes problem, iterative method
@article{M2AN_2016__50_4_1035_0, author = {Bernardi, Christine and Dakroub, Jad and Mansour, Gihane and Sayah, Toni}, title = {A posteriori analysis of iterative algorithms for {Navier{\textendash}Stokes} problem}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis }, pages = {1035--1055}, publisher = {EDP-Sciences}, volume = {50}, number = {4}, year = {2016}, doi = {10.1051/m2an/2015062}, zbl = {1457.65179}, mrnumber = {3521711}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an/2015062/} }
TY - JOUR AU - Bernardi, Christine AU - Dakroub, Jad AU - Mansour, Gihane AU - Sayah, Toni TI - A posteriori analysis of iterative algorithms for Navier–Stokes problem JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2016 SP - 1035 EP - 1055 VL - 50 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2015062/ DO - 10.1051/m2an/2015062 LA - en ID - M2AN_2016__50_4_1035_0 ER -
%0 Journal Article %A Bernardi, Christine %A Dakroub, Jad %A Mansour, Gihane %A Sayah, Toni %T A posteriori analysis of iterative algorithms for Navier–Stokes problem %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2016 %P 1035-1055 %V 50 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2015062/ %R 10.1051/m2an/2015062 %G en %F M2AN_2016__50_4_1035_0
Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Sayah, Toni. A posteriori analysis of iterative algorithms for Navier–Stokes problem. ESAIM: Mathematical Modelling and Numerical Analysis , Volume 50 (2016) no. 4, pp. 1035-1055. doi : 10.1051/m2an/2015062. http://www.numdam.org/articles/10.1051/m2an/2015062/
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