Polynomial extensions play a vital role in the analysis of the p and h-p FEM and the spectral element method. We construct explicitly polynomial extensions on standard elements: cubes, triangular prisms and pyramids, which together with the extension on tetrahedrons are used by the p and h-p FEM in three dimensions. These extensions are proved to be stable and compatible with FEM subspaces on t...

MOTIVATION There is a growing number of studies generating matched Illumina Infinium HumanMethylation450 and gene expression data, yet there is a corresponding shortage of statistical tools aimed at their integrative analysis. Such integrative tools are important for the discovery of epigenetically regulated gene modules or molecular pathways, which play key roles in cellular differentiation an...

For pile foundations subjected to lateral loads, an analysis method should account for the response of the combined soil-pile system. Current practice for pile-soil interaction analysis usually employs a series of springs to model the lateral behavior of soil-pile interaction. In this method, the force (p) – deformation (y) function, widely known as p-y curve, of the spring characterizes the pi...

This paper aims at presenting a new efficient element for free vibration and instability analysis of Axially Functionally Graded Materials (FGMs) non-prismatic beams using Finite Element Method (FEM). Using concept of Basic Displacement Functions (BDFs), two- node element extends  to three-node element for obtaining much more exact results using FEM. First, BDFs are introduced and computed usin...