V. Kozlov et al., ON CERTAIN HYBRID ITERATIVE METHODS FOR SOLVING BOUNDARY-VALUE-PROBLEMS, SIAM journal on numerical analysis, 31(1), 1994, pp. 101-110
A mathematical justification of certain new iterative schemes used in
solving the Dirichlet and Neumann problems for the Laplace equation is
given. These schemes are based on a combination of Green's formula an
d some numerical method, FEM, for example, which is applied to some au
xiliary mixed type boundary value problem on a subset of the original
domain.