Iterative methods of solving boundary canonical equations in boundary value problems with symmetries (Q1571156)

Iterative schemes for the numerical solution of canonical forms of boundary integral equations for boundary value problems possessing a noncommutative group of symmetries are constructed. It is shown that the structure of the canonical equations allows to construct iterative schemes that considerably reduce the number of operations compared with direct methods of their solution. Thus, the authors extend the class of three-dimensional boundary value problems of potential theory that admit efficient numerical analysis.