| | |
Summary: DDM Preprint
Editors: added later c
DDM.org
1. The mortar element method with overlapping
subdomains
Yves Achdou 1 ,
Yvon Maday 2
Introduction
The mortar element methods were introduced in [BMP94] for non overlapping domain
decompositions in order to couple di erent variational approximations in di erent
subdomains. In the nite element context, one important advantage of the mortar
element methods is that it allows for using structured grids in subdomains thus fast
solvers [AAH + 98]. The resulting methods are nonconforming but still yield optimal
approximations. The literature on the mortar element methods is growing numerous
see [AMW99] and reference therein.
In this paper, we shall discuss the case of overlapping subdomains, with meshes
constructed in an independent manner in each subdomain. As pointed by F. Hecht,
J.L. Lions, and O. Pironneau, [LP99, HLP99] such a situation can occur if the domain
of computation is a scene constructed by Constructive Solid Geometry as usual in
Image Synthesis and Virtual Reality : each object of the scene is described by set
|
