in this paper, single, bi-layered and three-layered tube hydroforming processes were numerically simulated using the finite element method. it was found that the final bulges heights resulted from the models were in good agreement with the experimental results. three types of modeling were kept with the same geometry, tube material and process parameters to be compared between the obtained hydr...

Numerical analysis of Partial Differential Equations (PDE's) of the solid mechanics using Finite Element Method (FEM) is very popular. One issue which is haunting the finite element solution is the computer time. Finite Element Analysis (FEA) using fine mesh and large number of nodes consumes lot of solution time. To overcome this difficulty, a hybrid Neuro-FEM is proposed. FEM solutions consid...

We propose a class of finite element schemes for systems of hyperbolic conservation laws that are based on finite element discretizations of appropriate relaxation models. We consider both semidiscrete and fully discrete finite element schemes and show that the schemes are stable and, when the compensated compactness theory is applicable, do converge to a weak solution of the hyperbolic system....

The paper presents numerical modeling of the dynamics of recently developed electromagnetic valve actuator. The decoupled modelling approach is employed consisting of three-dimensional finite element analysis of the magnetic field of the actuator and solution of the dynamics equations on the basis of functions obtained from the magnetic field analysis. For the finite element analysis ANSYS prog...

This paper develops and analyzes a finite element method for a nonlinear singular elliptic equation arising from the black hole theory in the general relativity. The nonlinear equation, which was derived and analyzed by Huisken and Ilmanen in [14], represents a level set formulation for the inverse mean curvature flow describing the evolution of a hypersurface whose normal velocity equals the r...

By using the finite element $p$-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element $p$-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshl...

In this paper the energy absorption capacity of stiffened circular composite tube is considered. The governing equations and dynamic equilibrium are first derived and then solved. Additionally, a finite element model of reinforced circular composite tube structure is modeled. At the following, the effects of various parameters such as structural geometry, number of rings and stingers on mechani...

in this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. in the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations.  also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. error estimates were also obtaine...

The Moving Finite Element method for the solution of time-dependent partial diierential equations is a numerical solution scheme which allows the automatic adaption of the nite element approximation space with time. An analysis of how this method models the steady solutions of a general class of parabolic linear source equations is presented. It is shown that under certain conditions the steady...

For the linear finite element method based on general unstructured anisotropic meshes in two dimensions, we establish the superconvergence in energy norm of the finite element solution to the interpolation of the exact solution for elliptic problems. We also prove the superconvergence of the postprocessing process based on the global L2-projection of the gradient of the finite element solution....