TY - JOUR
T1 - The Property of the Branch of Nonsingular Finite Element/Finite Volume Solutions to the Stationary Navier-Stokes Equations and Its Application
AU - Li , Jian
AU - He , Yinnian
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 42
EP - 53
PY - 2020
DA - 2020/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/13639.html
KW - Stationary Navier-Stokes equations, finite element methods, finite volume methods, the branch of nonsingular solutions, inf-sup condition, large data.
AB - <p style="text-align: justify;">In this paper, a branch of nonsingular solutions of the stationary Navier-Stokes
equations are investigated, which are unique on a neighborhood, and mostly isolated without
relying on very stringent requirement on the small data. We summarize and develop an equivalent
definition of nonsingular solutions of finite element/finite volume methods in the same framework.
Furthermore, we establish the equivalent definition of a branch of singular solutions of finite
element methods for the coupled Navier-Stokes/Darcy equations.</p>