Numerical Procedures

There are different numerical procedures that can be incorporated in the solution of nonlinear problems using the finite element method. A successful procedure must include the following:
  • A control technique capable of controlling the progress of the computations along the equilibrium path (s) of the system.
  • An iterative method to solve a set of simultaneous nonlinear equations governing the equilibrium state along the path (s).
  • Termination schemes to end the solution process.

Additional schemes such as line search, acceleration, and/or preconditioning may be augmented to enhance the solution procedure.