@Article{JCM-7-200, author = {Olof Widlund}, title = {Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems}, journal = {Journal of Computational Mathematics}, year = {1989}, volume = {7}, number = {2}, pages = {200--208}, abstract = {

In this contribution, we report on some results recently obtained in joint work with Maksymilian Dryja. We first study an additive variant of Schwarz' alternating algorithm and establish that a fast method of this kind can be devised which is optimal in the sense that the number of conjugate gradient iterations required, to reach a certain tolerance, is independent of the mesh size as well as the number of subregions.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9470.html} }