@Article{JCM-32-456, author = {}, title = {On the Optimal Convergence Rate of a Robin-Robin Domain Decomposition Method}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {4}, pages = {456--475}, abstract = {

In this work, we solve a long-standing open problem: Is it true that the convergence rate of the Lions' Robin-Robin nonoverlapping domain decomposition (DD) method can be constant, independent of the mesh size $h?$ We closed this old problem with a positive answer. Our theory is also verified by numerical tests.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1403-m4391}, url = {http://global-sci.org/intro/article_detail/jcm/9897.html} }