The problem requires finding the intersection of two sets, $A$ and $B$. The intersection of sets, denoted as $A \cap B$, includes all elements that are common to both set $A$ and set $B$.
Set $A$ is defined as $ A = \{1, 3, 7, 9, 11\} $.
Set $B$ is defined as $ B = \{3, 9, 12, 15, 18\} $.
To compute $A \cap B$, we examine the elements listed in both sets and identify those that appear in both.
The elements that are common to both Set $A$ and Set $B$ are $3$ and $9$. Therefore, the intersection $A \cap B$ is the set containing these common elements.
$ A \cap B = \{3, 9\} $