The Property of the Branch of Nonsingular Finite Element/Finite Volume Solutions to the Stationary Navier-Stokes Equations and Its Application
Year: 2020
Author: Jian Li, Yinnian He
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 42–53
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-13639
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 42–53
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Stationary Navier-Stokes equations finite element methods finite volume methods the branch of nonsingular solutions inf-sup condition large data.