TY - JOUR
T1 - A two-level finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the ocean
AU - Foster, E.L.
AU - Iliescu, T.
AU - Wells, David
PY - 2013
Y1 - 2013
N2 - In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the two-level finite element discretization were derived. Numerical experiments for the two-level algorithm with the Argyris finite element were also carried out. The numerical results verified the theoretical error estimates and showed that, for the appropriate scaling between the coarse and fine mesh sizes, the two-level algorithm significantly decreases the computational time of the standard one-level algorithm.
AB - In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the two-level finite element discretization were derived. Numerical experiments for the two-level algorithm with the Argyris finite element were also carried out. The numerical results verified the theoretical error estimates and showed that, for the appropriate scaling between the coarse and fine mesh sizes, the two-level algorithm significantly decreases the computational time of the standard one-level algorithm.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84883820327&partnerID=MN8TOARS
U2 - 10.1016/j.camwa.2013.07.025
DO - 10.1016/j.camwa.2013.07.025
M3 - Article
SN - 0898-1221
SP - 1261
EP - 1271
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
ER -