n this paper, we have implemented the finite element method for numerical solution of a boundary and initial value problems, mainly on solving one two-dimensional advection-diffusion equation with constant parameters. In doing so, basic idea is to first rewrite problem as variational equation, then seek approximation from space continuous piece-wise linear’s. This discretization procedure resul...

Equilibrated solutions, locally satisfying all the equilibrium conditions, may be obtained by using a special case of the hybrid finite element formulation. Equilibrium finite element solutions will normally present compatibility defaults, which may be directly used to estimate the error of the solution, a posteriori. Another approach is to construct a compatible solution using the stresses and...

The nonlinear dynamic finite element solution of pipe whip problems is presented. The finite element modelling used, the step-by-step incremental solution of the nonlinear equations of motion and design considerations are discussed. The influence of various physical parameters on the response of the pipe and the restraint, and the effects of using different finite element models are considered....

Numerical solutions of the stochastic Stokes equations driven by white noise perturbed forcing terms using finite element methods are considered. The discretization of the white noise and finite element approximation algorithms are studied. The rate of convergence of the finite element approximations is proved to be almost first order (h| ln h|) in two dimensions and one half order (h 1 2 ) in ...

In the case of study on the seismic behavior of tanks, one of the most important subjects is selection of convective and impulsive frequencies for storage tanks. These two frequencies are defined by Housner. The major utility of these frequencies is for Rayleigh damping which is a must for time history analysis. API 650, EUROCODE 8 have suggested some analytical solutions for finding convective...

-A method of discretizing the die boundary conditions is considered for the analysis of metal forming processes by the rigid viscoplastic finite element method. The method is natural to the finite element method and general enough to treat the boundary conditions of arbitrarily shaped dies in a unified way. Solutions of the spike forging process are obtained by using the method. The deformation...

In this article, an adaptive least-squares mixed finite element method is studied for pseudo-parabolic integro-differential equations. The solutions of least-squares mixed weak formulation and mixed finite element are proved. A posteriori error estimator is constructed based on the least-squares functional and the posteriori errors are obtained. Keywords—Pseudo-parabolic integro-differential eq...

The paper present a novel idea of simulating a flux controller with a finite element solver embedded in the motor model for the bearingless operation of a synchronous reluctance motor. Since rotor anisotropy and strong magnetic saturation can be accurately modelled in the finite element solutions, simulating the controller with a finite element based feedback generating system gives the opportu...