The Galerkin approach

  • David Henwood
  • Javier Bonet


The process of transforming a problem from a differential equation to a weak variational form was established in chapter 6. Now, trial functions and, in particular, the finite element form of trial functions are used with the variational form. The end result does not differ from earlier chapters; the same stiffness matrix and equations are derived, but the means of getting there is different. Once the new background ideas have been accepted, the approach may be seen to be elegant and generally applicable. In progressing through the mathematics the discussion will be:


Shape Function Trial Function Linear Element Quadratic Element Piezometric Head 
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Copyright information

© David Henwood and Javier Bonet 1998

Authors and Affiliations

  • David Henwood
    • 1
  • Javier Bonet
    • 2
  1. 1.Department of MathematicsUniversity of ZimbabweZimbabwe
  2. 2.Department of Civil EngineeringUniversity of WalesSwanseaUK

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