Now, substituing into (27.5) using (29.3) and (29.4) produces
where, Eq. (29.5) is basically a discrete form of Poisson equation that is equivalent to
It may be noted that the solution converges as Eq. (29.3) and (29.4) can be also represented as
The algorithm may be summarized as
- u* is obtained from equations (28.3) and (28.4).
- is obtained from equation (29.5)
- uc is obtained from equations (29.3) and (29.4).
- is obtained from where is a relaxation parameter.
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