Pahl, Shannon S.2019-08-292019-08-291994https://hdl.handle.net/10539/27920A research report submitted to the Faculty of Science in partial fulfillment of the requirements for the degree of Mastel' of Science at the University of the Witwatersrand, Johannesburg.Most cf the theory for domain decomposition methods of Schwarz type has been set in the framework of the h and p~version finite element method. In this study, Schwarz methods are formulated for both the conforming and nonconforming spectral element discretizations applied to linear scalar self adjoint second order elliptic problems in two dimensions. (Abbreviation abstract)enDecomposition method.Thesis