Conforming spectral approximations for non-conforming domain decompositions Original Research Article

A spectral domain decomposition scheme is introduced for the numerical solution of second- and fourth-order elliptic problems. The technique is applicable to certain domain decompositions of rectangular or rectangularly decomposable domains. It is shown that it yields approximations which are pointwise C0 continuous across the subdomain interfaces for second order problems and pointwise C1 continuous across the subdomain interfaces for fourth-order problems.