  The Boundary Element Method (BEM) is implemented using piecewise linear
elements to solve the two-dimensional Dirichlet problem for Laplace's equation
posed on a disk. A benefit of the BEM as opposed to many other numerical
solution techniques is that discretization only occurs on the boundary, i.e.,
the complete domain does not need to be discretized. This provides an advantage
in terms of time and cost. The algorithm's performance is illustrated through
sample test problems with known solutions. A comparison between the exact
solution and the BEM numerical solution is done, and error analysis is
performed on the results.
