ABSTRACT
Chapter 5
Numerical solution of nite element
equations
Discretization of the boundary or initial-boundary value problem means the
approximation of the original problem by a nite dimensional problem. This
resulting problem is, however, nonlinear if the original problem was nonlinear.
In the case of an elliptic problem, the necessary linearization can be applied
to the original problem or to the nite dimensional problem. In both cases
we nally obtain a system of linear algebraic equations. We are concerned
with such real-valued systems in this chapter. Most methods presented can
be applied to complex-valued systems, too, after proper modication.
