The document outlines the 7 stages of the boundary element method (BEM) for solving boundary value problems: 1) Find the fundamental solution of the governing equation, 2) Derive a formula converting domain integrals to boundary integrals, 3) Obtain the boundary integral equation (BIE) for a domain point, 4) Let the domain point approach the boundary to obtain the BIE for a boundary point, 5) Discretize the BIEs for boundary points into a matrix equation, 6) Solve the matrix equation using prescribed boundary conditions, 7) Solve for domain points using the BIE for a domain point.