Finite element methods to analyze helical stent expansion

Preliminary Study of Tubular Expansion Using Finite Element Methods

Recent developments in the oil industry show that downhole tubular expansion is highly attractive due to the fact that the technology contributes to economical savings and exploration efficiency. As the technology is new, however, there still remain many unsolved problems to achieve the optimal design and implementation of the technology. Primarily, there is a need to establish a thorough under...

Introduction to Finite Element Methods

Finite element methods are based on the variational formulation of partial differential equations which only need to compute the gradient of a function. Although unknowns are still associated to nodes, the function composed by piece-wise polynomials on each element and thus the gradient can be computed element-wise. Finite element spaces can thus be constructed on general triangulations and thi...

Introduction to Finite Element Methods

In a di erential equations course, one typically studies a few classes of problems for which there are closed form solutions, such as ordinary, linear di erential equations with constant coe cients. Most problems of interest in real world simulation problems are much more complex, however, involving domains of two or more dimensions or nonlinear e ects, yielding partial di erential equations or...

Finite Element Methods for Convection Diffusion Equation

This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...

Finite Element Methods