The problem of calculating the stress-strain state and solving weight optimization a single-engine transport aircraft nacelle fasteners is relevant In connection with development construction. One fastening elements brace, which under action static loads.. method calculation based on finite element method, considered in work. A tetrahedral was chosen as element. stresses strains brace were dete...

Discontinuous finite element methods for the SN equations on 3-D unstructured tetrahedral and hexahedral meshes are presented. Solution techniques including source iteration and diffusion-synthetic acceleration are described. Numerical results are presented which demonstrate the accuracy and efficiency of these methods.

The paper is concerned with algorithms for transforming hexahedral finite element meshes into tetrahedral meshes without introducing new nodes. Known algorithms use only the topological structure of the hexahedral mesh but no geometry information. The paper provides another algorithm which is then extented such that quality criteria for the splitting of faces are respected.

A family of continuously differentiable piecewise polynomials of degree k, for all k ≥ 17, on general 4D simplicial grids, is constructed. Such a finite element space assumes full order of approximation. As a byproduct, we obtain a family of special 3D C2-Pk elements on tetrahedral grids.

We give an overview of superconvergence phenomena in the finite element method for solving three-dimensional problems, in particular, for elliptic boundary value problems of second order over uniform meshes. Some difficulties with superconvergence on tetrahedral meshes are presented as well. For a given positive integer m we prove that there is no tetrahedralization of R3 whose all edges are m-...

In this paper, we show that the piecewise linear finite element solution uh and the linear interpolation uI have superclose gradient for tetrahedral meshes, where most elements are obtained by dividing approximate parallelepiped into six tetrahedra. We then analyze a post-processing gradient recovery scheme, showing that the global L2 projection of ∇uh is a superconvergent gradient approximatio...

The paper is concerned with algorithms for transforming hexahedral finite element meshes into tetrahedral meshes without introducing new nodes. Known algorithms use only the topological structure of the hexahedral mesh but no geometry information. The paper provides another algorithm which is then extented such that quality criteria for the splitting of faces are respected.

3 Simulation Phase: Three Models for Simulation 9 3.1 3D ChainMail . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Mass Spring Models . . . . . . . . . . . . . . . . . . . . . . . 13 3.2.1 Classical Mass Spring Model . . . . . . . . . . . . . . . 13 3.2.2 Fast Tetrahedral Mass Spring Model . . . . . . . . . . 15 3.3 Finite Element Models . . . . . . . . . . . . . . . . . . . . . . 1...

We study the stability in the H1-seminorm of the L2-projection onto finite element spaces in the case of nonuniform but shape regular meshes in two and three dimensions and prove, in particular, stability for conforming triangular elements up to order twelve and conforming tetrahedral elements up to order seven.

The tetrahedral finite element approximation of the Stokes problem is analyzed by means of polynomials piecewise of degree k +1 for the velocity and continuous piecewise of degree k for the pressure. A stability result is given for every k ≥ 1.