Iterative methods for domain decomposition using spectral tau and collocation approximation
The author considers the numerical solution of second order elliptic problems by spectral methods in regions partitioned into several subdomains. An iterative procedure with interface relaxation is reviewed reducing the given differential problem to a sequence of Dirichlet and mixed Neumann-Dirichlet problems on each subdomain. The iterative procedure is used with both tau and collocation spectral approximations. Several numerical studies on one- and two-dimensional problems show the convergence properties of the scheme. The paper concludes with a proposal on a multilevel technique for the Dirichlet-Neumann iterative procedure.
scientific article; zbMATH DE number 4133442
scientific article