Weighted Residual Method Fem. Galerkin s method1 is one of a number of numerical techniques known as weighted residual methods. For the basic theory of the finite element see 1 and see 2 for its application for nonlinear mechanical problems.
We define the weighted residual for w i x to be. Hence the integration of the weighted residual statement results in the forcing of the residual to zero at specific points in the domain. The chapter considers a bar under tension as a simple example to show how to establish fundamental equations of finite element method by weighted.
R i t 0 for i 1 n.
Abstract weighted residual methods wrms are conceptually different from the finite difference method in that a wrm assumes that the solution can be represented analytically. Weighted residual methodweighted residual method. R i t 1 1 w i x r t x d x. The finite element method belongs to the family of weighted residual methods.
