A. Karageorghis et S. Sivaloganathan, CONFORMING SPECTRAL APPROXIMATIONS FOR NON-CONFORMING DOMAIN DECOMPOSITIONS, Computer methods in applied mechanics and engineering, 156(1-4), 1998, pp. 299-308
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 rect
angularly decomposable domains. It is shown that it yields approximati
ons which are pointwise C-0 continuous across the subdomain interfaces
for second order problems and pointwise C-1 continuous across the sub
domain interfaces for fourth-order problems. (C) 1998 Elsevier Science
S.A.