@Article{IJNAM-17-1,
author = {Li, Jian and Yinnian, He},
title = {The Property of the Branch of Nonsingular Finite Element/Finite Volume Solutions to the Stationary Navier-Stokes Equations and Its Application},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {1},
pages = {42--53},
abstract = {<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>},
issn = {2617-8710},
doi = {https://doi.org/2020-IJNAM-13639},
url = {https://global-sci.com/article/83007/the-property-of-the-branch-of-nonsingular-finite-elementfinite-volume-solutions-to-the-stationary-navier-stokes-equations-and-its-application}
}