Two different approaches for matching nonconforming grids: the mortar element method and the FETI method. Catherine Lacour, Yvon Maday To cite this version: Catherine Lacour, Yvon Maday. Two different approaches for matching nonconforming grids: the mortar element method and the FETI method.. BIT Numerical Mathematics, Springer Verlag, 1997, 37 (3), pp.720 – 738. 10.1007/BF02510249. hal-00369517 HAL Id: hal-00369517 https://hal.archives-ouvertes.fr/hal-00369517 Submitted on 20 Mar 2009 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. BIT 37:3 (1997), 720-738. TWO DIFFERENT APPROACHES FOR MATCHING NONCONFORMING GRIDS: THE MORTAR ELEMENT METHOD AND THE FETI METHOD * C. LACOUR I and Y. MADAY 1'2 10NERA, DI, 29, Avenue de la Division Leclerc F-92322, Chatillon Cedex, France. email:
[email protected] 2ASCI, Batiment 506, Universitd Paris Sud, F-91405 Orsay Cedex France. email:
[email protected] Abstract. When using domain decomposition in a finite element framework for the approxi- mation of second order elliptic or parabolic type problems, it has become appealing to tune the mesh of each subdomain to the local behaviour of the solution. The resulting discretization being then nonconforming, different approaches have been advocated to match the admissible discrete functions.