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Solution of an Eigenvalue Problem using Trigonometric Interpolation by Finite Element Method

M. U. Ahammad, Md. Shirazul Hoque Mollah, Md. Obayedullah

Abstract


The finite element method is a convenient method of solving various problems such as steady state problems, transient problems and eigenvalue problems. In most of the cases algebraic polynomial or Lagrange interpolation function is used to approximate the field variable for solving an eigenvalue problem by FEM. The effect of trigonometric interpolation instead of Lagrange interpolation in the solution of an eigenvalue problem has been investigated in this paper. Firstly Lagrange interpolation has been replaced by the trigonometric interpolation and then making use of the finite element technique the eigenvalues have been computed. It follows that there is a good agreement between the two sets of eigenvalues obtained by using Lagrange interpolation and trigonometric interpolation.

Keywords


Eigenvalue problem, Finite element method (FEM), Lagrange interpolation, Trigonometric interpolation.

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