Natural Superconvergent Points of Equilateral Triangular Finite Elements – A Numerical Example
نویسندگان
چکیده
A numerical test case demonstrates that Lobatto and Gauss points are not natural superconvergent points for cubic and quartic finite elements under equilateral triangular mesh. 2000 Mathematics Subject Classification. Primary 65N30, Secondary 65N15, 41A10, 41A25, 41A27, 41A63.
منابع مشابه
Derivative Superconvergence of Equilateral Triangular Finite Elements
Derivative superconvergent points under locally equilateral triangular mesh for both the Poisson and Laplace equations are reported. Our results are conclusive. For the Poisson equation, symmetry points are only superconvergent points for cubic and higher order elements. However, for the Laplace equation, most of superconvergent points are not symmetry points, which are reported for the first t...
متن کاملLocating Natural Superconvergent Points of Finite Element Methods in 3d
In [20], we analytically identified natural superconvergent points of function values and gradients for several popular three-dimensional polynomial finite elements via an orthogonal decomposition. This paper focuses on the detailed process for determining the superconvergent points of pentahedral and tetrahedral elements.
متن کاملNumerical investigation on the effects of six control rods arranged in equilateral triangular configurations on fluid flow and forced convection heat transfer from a circular cylinder
The present work deals with heat transfer characteristics as well as fluid flow patterns in laminar flow regime for a circular cylinder with six control rods arranged in equilateral triangular geometries. The computations have been carried out by a finite volume approach using the overset grid method. The unsteady flow at Re= 200 and Pr= 0.7 and 7.0 was examined. The effect of the control rods ...
متن کاملA novel Galerkin-like weakform and a superconvergent alpha finite element method (SαFEM) for mechanics problems using triangular meshes
A carefully designed procedure is presented to modify the piecewise constant strain field of linear triangular FEM models, and to reconstruct a strain field with an adjustable parameter a. A novel Galerkin-like weakform derived from the Hellinger–Reissner variational principle is proposed for establishing the discretized system equations. The new weak form is very simple, possesses the same goo...
متن کاملSuperconvergence for Second Order Triangular Mixed and Standard Finite Elements
JYV ASKYL A 1996 2 Superconvergence for second order triangular mixed and standard nite elements. Abstract In this paper we will prove that both the second order Raviart-Thomas type mixed nite elements and the quadratic standard nite elements on regular and uniform triangular partitions, are superconvergent with respect to Fortin interpolation. This result implies the superconvergence for quadr...
متن کامل