Finite Element Method with Applications in Engineering

Appendix C

Example Illustrating Use of Galerkin's Method

C.1 GENERAL

Methods of weighted residual are used when differential equations (that describe the behaviour of physical system) are known. Of all the weighted residual methods, Galerkin's method is employed extensively in the context of finite element analysis. The use of the method is demonstrated by employing an illustrative example.

C.2 EXAMPLE

A physical phenomenon is described by the differential equation

 

 

such that                              

1. Derive a 2-node line element having ...