TY - JOUR
AB - The indefinite nature of the mixed finite element formulation of the Navier‐Stokes equations is treated by segregation of the variables. The segregation algorithm assembles the coefficients which correspond to the velocity variables in the upper part of the equation matrix and the coefficients which corresponds to the pressure variables in the lower part of the equation matrix. During the incomplete; elimination of the velocity matrix, fill‐in will occur in the pressure matrix, hence, divisions with zero are avoided. The fill‐in rule applied here is related to the location of the node in the finite element mesh, rather than the magnitude of the fill‐in or the magnitude of the coefficient at the location of the fill‐in. Different orders of fill‐in are explored for ILU preconditioning of the mixed finite element formulation of the Navier‐Stokes equations in two dimensions.
VL - 14
IS - 3
SN - 0961-5539
DO - 10.1108/09615530410517986
UR - https://doi.org/10.1108/09615530410517986
A1 - Wille S.Ø.
A2 - Staff Ø.
A3 - Loula A.F.D.
A4 - Carey G.F.
PY - 2004
Y1 - 2004/01/01
TI - The influence of the order of fill‐in on the convergence rate for ILU preconditioned iterative solvers
T2 - International Journal of Numerical Methods for Heat & Fluid Flow
PB - Emerald Group Publishing Limited
SP - 325
EP - 340
Y2 - 2020/01/24
ER -