A Beginner’s Course in Boundary Element Methods

During the last few decades, the boundary element method, also known as the boundary integral equation method or boundary integral method, has gradually evolved to become one of the few widely used numerical techniques for solving boundary value problems in engineering and physical sciences. In implementing the method, only the boundary of the solution domain has to be discretized into elements. In the case of a two-dimensional problem, this is really easy to do. Put closely packed points on the boundary (a curve) and join up two consecutive neighboring points to form straight line elements.

The book has 6 chapters:

1. Two-dimensional Laplace’s Equation
2. Discontinuous Linear Elements
3. Two-dimensional Helmholtz Type Equation
4. Two-dimensional Diffusion Equation
5. Green’s Functions for Potential Problems
6. Three-dimensional Problems