An overview of one dimensional elliptical problem by finite element method with different domain

Author

Gayathri, V.

Author_Institution

Dept. of Math., Vel Tech Multi Tech Dr. Rangarajan Dr. Sakunthala Eng. Coll., Chennai, India

fYear

2014

Firstpage

1

Lastpage

3

Abstract

The finite element method has a wide range of applications in solving the complicated problems in Engineering, notably in elasticity and structural Mechanics. In this paper, an elliptic differential equation with Dirichlet´s boundary condition is solved in the domain (0,2) using finite element method. In this solving, we obtain the different mesh functions for different domains. Finally, the first linear basis function which is defined at the initial point can be calculated for every n, where n is a positive integer.

Keywords

boundary-value problems; differential equations; elliptic equations; mesh generation; Dirichlet boundary condition; elasticity; elliptic differential equation; finite element method; linear basis function; mesh function; one dimensional elliptical problem; structural mechanics; Approximation methods; Boundary value problems; Differential equations; Educational institutions; Finite element analysis; Mathematical model; Piecewise linear approximation; finite element method; mesh points; numerical integration; piecewise linear finite element basis function;

fLanguage

English

Publisher

ieee

Conference_Titel

Science Engineering and Management Research (ICSEMR), 2014 International Conference on

Print_ISBN

978-1-4799-7614-0

Type

conf

DOI

10.1109/ICSEMR.2014.7043620

Filename

7043620