TY - JOUR
T1 - Newton iterative parallel finite element algorithm for the steady navier-stokes equations
AU - He, Yinnian
AU - Mei, Liquan
AU - Shang, Yueqiang
AU - Cui, Juan
PY - 2010/7
Y1 - 2010/7
N2 - A combination method of the Newton iteration and parallel finite element algorithm is applied for solving the steady Navier-Stokes equations under the strong uniqueness condition. This algorithm is motivated by applying the Newton iterations of m times for a nonlinear problem on a coarse grid in domain Ω and computing a linear problem on a fine grid in some subdomains Ω j ⊂Ω with j=1..., M in a parallel environment. Then, the error estimation of the Newton iterative parallel finite element solution to the solution of the steady Navier-Stokes equations is analyzed for the large m and small H and h≪H. Finally, some numerical tests are made to demonstrate the the effectiveness of this algorithm.
AB - A combination method of the Newton iteration and parallel finite element algorithm is applied for solving the steady Navier-Stokes equations under the strong uniqueness condition. This algorithm is motivated by applying the Newton iterations of m times for a nonlinear problem on a coarse grid in domain Ω and computing a linear problem on a fine grid in some subdomains Ω j ⊂Ω with j=1..., M in a parallel environment. Then, the error estimation of the Newton iterative parallel finite element solution to the solution of the steady Navier-Stokes equations is analyzed for the large m and small H and h≪H. Finally, some numerical tests are made to demonstrate the the effectiveness of this algorithm.
KW - Local and parallel algorithm
KW - Navier-Stokes equations
KW - Newton iterative method
KW - Two-grid method
UR - https://www.scopus.com/pages/publications/77953014949
U2 - 10.1007/s10915-010-9371-4
DO - 10.1007/s10915-010-9371-4
M3 - 文章
AN - SCOPUS:77953014949
SN - 0885-7474
VL - 44
SP - 92
EP - 106
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
IS - 1
ER -