A Fortin Operator for Taylor-hood Elements
نویسنده
چکیده
by elements of Taylor-Hood type. More specifically, for k = 2, 3, the velocity vector u is approximated in the space V k0,h = V k h ∩ H10(Ω), where V kh is the space of continuous piecewise polynomial vectors of degree ≤ k and the pressure p is approximated in the space Qk−1 h consisting of continuous piecewise polynomials of degree ≤ k−1. The stability of these pairs depends on verification of the classical inf-sup condition
منابع مشابه
A Fortin Operator for Two-dimensional Taylor-hood Elements
by elements of Taylor-Hood type where Ω is a polygon in R (when triangular elements are considered) or a union of rectangles in R (when rectangular elements are considered). The construction of the Fortin operator will be given in detail for the case of triangular elements. The extension to rectangular elements is discussed briefly in the final section of the paper. More specifically, for trian...
متن کاملA uniformly stable Fortin operator for the Taylor-Hood element
We construct a new Fortin operator for the lowest order Taylor–Hood element, which is uniformly stable both in L and H. The construction, which is restricted to two space dimensions, is based on a tight connection between a subspace of the Taylor– Hood velocity space and the lowest order Nedelec edge element. General shape regular triangulations are allowed for the H–stability, while some mesh ...
متن کاملMax-Norm Stability of Low Order Taylor-Hood Elements in Three Dimensions
We prove stability in W 1,∞(Ω) and L∞(Ω) for the velocity and pressure approximations, respectively, using the lowest-order Taylor-Hood finite element spaces to solve the three dimensional Stokes problem. The domain Ω is assumed to be a convex polyhedra.
متن کاملStenberg’s sufficiency criteria for the LBB condition for Axisymmetric Stokes Flow
In this article we investigate the LBB condition for axisymmetric flow problems. Specifically, the sufficiency condition for approximating pairs to satisfy the LBB condition established by Stenberg in the Cartesian coordinate setting is presented for the cylindrical coordinate setting. For the cylindrical coordinate setting, the Taylor-Hood (k = 2) and conforming Crouzeix-Raviart elements are s...
متن کاملStenberg’s sufficiency condition for Axisymmetric Stokes Flow
In this article we investigate the LBB condition for axisymmetric flow problems. Specifically, the sufficiency condition for approximating pairs to satisfy the LBB condition established by Stenberg in the Cartesian coordinate setting is presented for the cylindrical coordinate setting. For the cylindrical coordinate setting, the Taylor-Hood (k = 2) and conforming Crouzeix-Raviart elements are s...
متن کامل