Article,
Principles of Boundary Element Methods
Computer Physics Reports, 6 (1-6): 243--274 (August 1987)
DOI: 10.1016/0167-7977(87)90014-1
Abstract
Boundary element methods (BEM) are numerical methods for the solution of integral equations that appear in the solution of boundary value problems. We describe the theoretical principles that govern typical BEM applications. Some points are described in detail, namely the derivation of all possible boundary integral equations for general elliptic boundary value problems, typical error estimates, the treatment of singularities, and the coupling of BEM with finite element methods.
