Finite-difference Green's function diakoptics - domain versus boundary formalisms

摘要

The lookback boundary Green's function diakoptics (GFD) schemes reported on before act on field quantities at the boundary set of disjoint domains. This seems a logical and desirable property, but induces computational complexities. It is also possible to construct a domain-based GFD lookback scheme, akin to a discrete Green's function method developed by Vazquez and Parini. We discuss these limited and unlimited lookback boundary and domain based GFD formalisms.