摘要

At present, the most efficient domain decomposition methods (DDM) are non-overlapping methods. The improved efficiency of such methods is due to the significant independence achieved by local problems when the subdomains are non-overlapping. However, standard discretizations applied up to now in non-overlapping DDMs use systems of nodes in which some of the nodes are shared by more than one subdomain of the domain decomposition. This is a limiting feature of the present state-of-the-art in these techniques and apparently further increases of the independence of local problems should be expected if this limiting characteristic was eliminated. In previous work, I. Herrera and co-workers have developed a new approach to domain decomposition methods: the 'DVS framework' that addresses this problem introducing a new discretization method, the 'non-overlapping discretization method', in which a non-overlapping system of nodes is used in the discrete formulation of the problem.

  • 出版日期2016-3