Weighted Residual Method Fem. For example to obtain the solution of the diffusion equation 3 1 the following approximate solution would be assumed. Galerkin method was generalised to the galerkin fem.
Since the residue can not be zero over the whole domain different techniques were introduced. T j 1 j a j t ϕ j x. Formulation of fem model.
The chapter also explains how to choose the weight function in the internal residual method.
For example to obtain the solution of the diffusion equation 3 1 the following approximate solution would be assumed. This chapter explains the basic idea of the weighted residual method at first and then shows how to use it in the finite element method fem. Direct stiffness method is limited for simple 1d problemsdirect stiffness method is limited for simple 1d problems pmpe is limited to potential problems fem can be applied to many engineering problems that arefem can be applied to many engineering problems that are governed by a differential equation need systematic approaches to generate fe equations. 2 175 the method of weighted residuals requires.
