Analysis of substructuring preconditioners for mortar methods in an abstract framework

framework Silvia Bertoluzza∗, Micol Pennacchio Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R., v. Ferrata 1, 27100 Pavia, Italy Received 16 February 2006; accepted 22 February 2006 A class of preconditioners for the linear system arising from the discretization by the mortar method is studied. We focus on the substructuring approach already applied by Achdou et al. [Y. Achdou, Y. Maday, O. Widlund, Substructuring preconditioners for the mortar method in dimension two, SIAM J. Numer. Anal. 36 (1999) 551–580] to the mortar method for the case of order one elements. The estimate that we provide relies on abstract assumptions so our result holds for finite elements of any order, as well as for spaces of different kinds, e.g. wavelets. c 2006 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2007
• Where: APPML
• Authors: Silvia Bertoluzza, Micol Pennacchio
• Keywords: APPML 2007, Framework Silvia Bertoluzza∗, Micol Pennacchio Istituto, Mortar Method