Boundary Element Methods

Many real-life events can be represented by equations that govern the behavior of physical phenomena of such events. Typically, the governing equations are solved using differential methods where the volume of the domain is subdivided into smaller volume elements or integral methods where the boundary of the domain is divided into smaller surface elements.

The boundary element method (BEM) is based on solving the integral equations numerically. The reduction of dimensionality due to the surface modeling, BEM requires substantially less modeling effort. Additionally, since the domains are not directly modeled, the solutions using BEM may result in improved accuracy, especially for problems that involve the modeling of high stress concentration (example, fracture mechanics) and infinite exterior domains (example, acoustic radiation).