A comparison study on multivariant and univariant finite elements for three?dimensional incompressible viscous flows
Journal
International Journal for Numerical Methods in Fluids
Journal Volume
21
Journal Issue
8
Pages
683-696
Date Issued
1995
Author(s)
Abstract
Abstract In this paper, four quadratic hexahedron elements are considered and assessed for analysis of an incompressible viscous flow underlying the mixed finite element method. We classify the investigated elements as multivariant and univariant finite elements. With the same number of pressure unknowns, multivariant elements are more constrained when the number of elements per side is larger than 10, as compared with that of continuous pressure elements. In multivariant eléments, the coding is complicated by the appearance of restricted degrees of freedom at mid‐face and mid‐edge nodes. The comparison consequently should be made via numerical example against the analytical problem.
SDGs
Type
journal article