The differential quadrature element method irregular element torsion analysis model

Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings

This paper presents the application of the method of generalized differential quadrature (GDQ) for the analysis of hydrodynamic thrust bearings. GDQ is a simple, efficient, high-order numerical technique and it uses the information on all grid points to approach the derivatives of the unknown function. The effectiveness of the solution technique is verified by comparing the GDQ computed results...

-irregular Element Tessellation in Mixed Element Meshes for the Control Volume Discretization Method

This paper presents an algorithm to compute the minimal tessellation of 1-irregular elements such as cuboids, rectangular prisms and pyramids. The minimal tessellation is the one that contains the minimum number of terminal elements. Terminal elements are the elements that compose the nal mesh. The complete mesh fulllls the Delaunay condition and is adequate for the control volume discretizatio...

Galerkin finite element method for one nonlinear integro-differential model

Keywords: Nonlinear integro-differential equations Finite elements Galerkin method a b s t r a c t Galerkin finite element method for the approximation of a nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance is studied. First type initial-boundary value problem is investigated. The convergence of the finite element scheme is proved. The ...

Extrapolation-based Boundary Element Quadrature

Novel differential quadrature element method for higher order strain gradient elasticity theory

In this paper, we propose a novel and efficient differential quadrature element based on Lagrange interpolation to solve a sixth order partial differential equations encountered in non-classical beam theories. These non-classical theories render displacement, slope and curvature as degrees of freedom for an Euler-Bernoulli beam. A generalize scheme is presented herein to implementation the mult...