TY - EJOU
AU - Liu, Dongjie
AU - Yu, Dehao
TI - The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains
T2 - Computer Modeling in Engineering \& Sciences
PY - 2008
VL - 37
IS - 3
SN - 1526-1506
AB - The coupling method of natural boundary element and mixed finite element is applied to analyze the stationary Navier-Stokes equation in 2-D unbounded domains. After an artificial smooth boundary is introduced, the original nonlinear problem is reduced into an equivalent problem defined in bounded computational domain. The well-posedness of the reduced problem is proved. The finite element approximation of this problem is given, and numerical example is provided to show the feasibility and efficiency of the method.
KW - Navier-Stokes equation
KW - boundary element method
KW - coupling
KW - mixed finite element method
DO - 10.3970/cmes.2008.037.305