2.4 Time Dependent Problems

A weak formulation of the problem posed by (2.1), (2.2), and (2.3) is,

Stating the problem in the space , we have,

If we take as a time step and as an approximation of at the discrete time in the space , fulfills,

The approach using this representation is known as the

we obtain,

which can be treated just like (2.9).

H. Ceric: Numerical Techniques in Modern TCAD