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Home  >  Volume 36 (no2)

AN EFFICIENT FINITE ELEMENT MODEL FOR TWO DIMENSIONAL FIELD PROBLEMS USING GALERKIN WEIGHTED RESIDUAL METHOD by Emenogu N.G ; Oruh B.I and Ogbonna Nkem (pages 111-120)
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Abstract
An efficient numerical procedure for dealing with boundary value field problem is presented. The method is based on the finite element method. Its essence is the minimization of the error (residual) due to approximation in a weighted sense and is an element-wise application of the Galerkin weighted method. The weighted residual integral gives a set of element algebraic equations, describing the variation of the function of interest at various discrete nodal points.
The assembly of the element equations using direct stiffness method gave a global system of equations (the model) which upon imposing the boundary conditions gave the desired nodal degree of freedom. 
The solution and post process of finite element method of this study showed that once the stiffness matrix of a continuum is established and the boundary conditions specified, the continuum is solved uniquely.
The heat transfer problem was solved using our new model and the result obtained was seen to compare favorably with their closed form analytical solution. 
Keywords: Finite element, Galerkin weighted residual, direct stiffness method
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