We present a Ritz-Galerkin discretization on sparse grids using pre-wavelets, which allows to solve elliptic differential equations with variable coefficients for dimension d = 2, 3 and higher dimensions d > 3. The method applies multilinear finite elements. We introduce an efficient algorithm for matrix vector multiplication using a Ritz-Galerkin discretization and semi-orthogonality. This alg...

The finite element method (FEM) can be applied to practically analyze the tall buildings in which the shear walls are used to resist the lateral loads. Accordingly, a variety of displacement and strain-based as well as frame macro elements have been proposed for analysis of the tall buildings. With respect to application of the lower order plane stress elements, analytical problems may arise wi...

This paper presents a composite programmable graph grammar model of the three dimensional self-adaptive hp Finite Element Method (hp-FEM) algorithms. The computational mesh composed of hexahedral finite elements is represented by a composite graph. The operations performed over the mesh are expressed by composite graph grammar productions. The three dimensional model is based on the extension o...

determination of the optimum loading path (internal pressure- axial feeding) to restrict the bursting, buckling and wrinkling through tube hydroforming process is necessary to produce an acceptable tube. in this paper, the wrinkling and fracture criteria are implemented to an finite element code devoted to the simulation of tube hydroforming processes. using the ansys parametric design language...

The finite element method and its application to the simulation of static linear elasticity has a long research history. The same applies for Bernstein–Bézier representations of curves and surfaces in computer aided geometric design. However, the combination of both to build tetrahedral Bernstein–Bézier finite elements presents an inspiring and fruitful challenge. The theory and implementation ...