A spectral eleIllent approxill1ation of viscous/inviscid coupled eq[lations in comPlex geoInetries is analyzed in this thesis. A high or(leralgorithm of viscous/iIlviscid coupled equatiol1s in complex geometries ispresented and analyzed tl1rough don1ain decomposition method based onthe spectral element method. By applying global variational fOrmulationand the generaJized Lax-Milgram saddlespoint tl1eory, it is provell thatthe discrete problem is well-po8ed. |