The Boundary Domain Integral Method for Elliptic Systems This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method namely the boundary domain integral method (BDIM). This method is a generalization of the well known boundary element method but it is also applicable to linear elliptic systems with variable coefficients especially to shell equations. The text should be understandable at the beginning graduate level. It is addressed to researchers in the fields of numerical analysis and computational mechanics and will be of interest to everyone looking at serious alternatives to the well established finite element methods