We prove stability of the finite element Stokes projection in the product space W 1,∞(Ω) × L∞(Ω). The proof relies on weighted L estimates for regularized Green’s functions associated with the Stokes problem and on a weighted inf-sup condition. The domain is a polygon or a polyhedron with a Lipschitz-continuous boundary, satisfying suitable sufficient conditions on the inner angles of its bound...

In this paper one generalizes the intuitionistic fuzzy logic (IFL) and other logics to neutrosophic logic (NL). The differences between IFL and NL (and the corresponding intuitionistic fuzzy set and neutrosophic set) are: a) Neutrosophic Logic can distinguish between absolute truth (truth in all possible worlds, according to Leibniz) and relative truth (truth in at least one world), because NL(...

The Crouzeix-Raviart triangular finite elements are inf \inf - form="prefix...

Based on the low-order conforming finite element subspace (Vh, Mh) such as the P1-P0 triangle element or the Q1-P0 quadrilateral element, the locally stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions is investigated in this paper. For this class of nonlinear slip boundary conditions including the subdifferential property, the weak variational formul...

and Applied Analysis 3 In scientific and engineering computations, many eigenvalue problems have the following first type of mixed variational formulation: find λ, u, σ ∈ R × V × W , u, σ / 0, 0 , such that a ( u, ψ ) b ( ψ, σ ) λ ( u, ψ ) D, ∀ψ ∈ V, 2.3 b u, v 0, ∀v ∈ W. 2.4 In order to solve problem 2.3 2.4 , one should construct finite element spaces Vh ⊂ V and Wh ⊂ W . Restricting 2.3 2.4 o...