The Way which is Leading toward BEMTo gain a feeling of transforming a differential formulation to its corresponding boundary integral formulation, and to have a rough knowledge of how the boundary element method works. Seven stages are to be identified in working out the example.

Seven stages are to be identified in working out the example of problem.Stage 1: Find the fundamental solution of the governing equation.Stage 2: Derive a formula of two field variables which converts domain integrals intoboundary integrals.Stage 3: Obtain the BIE for a domain point.Stage 4: Let x approach to the boundary and obtain the BIE for a boundary point.Stage 5: Choose a finite number of boundary points discritize the BIE’s for the boundary points, and put the discredited BIE's in matrix form.Stage 6: With the aid of the prescribed boundary conditions solve the matrix equation.Stage 7: Solve for the domain points by using the BIE for a domain point.

A boundary value problem is a problem, given some data on the

boundary B, to solve for the rest of information on the boundary B

and in the domain D.

Differential equation and Boundary Conditions

Step by Step Solution Using BEM/BIE