Solving boundary value problem using finite element method

Abstract

Numerical solution of a boundary value problem is obtained through Finite Element method. Using a weighted average Galerkin technique inside and on boundary (interface) of each element of the domain, equations are obtained and assembled. The proposed scheme is applied to Poisson equation with Dirichlet boundary conditions. Numerical results are presented. It is observed that five point finite difference approximation with square mesh and the corresponding two triangular elements in Finite Element method give on compilation parallel results.