Domain decomposition preconditioners for the spectral collocation method

Abstract

We propose and analyze several block iteration preconditioners for the solution of elliptic problems by spectral collocation methods in a region partitioned into several rectangles. It is shown that convergence is achieved with a rate that does not depend on the polynomial degree of the spectral solution. The iterative methods here presented can be… (More)
DOI: 10.1007/BF01066482

Topics

7 Figures and Tables

Cite this paper

@article{Quarteroni1988DomainDP, title={Domain decomposition preconditioners for the spectral collocation method}, author={Alfio Quarteroni and Giovanni Sacchi-Landriani}, journal={J. Sci. Comput.}, year={1988}, volume={3}, pages={45-76} }