Robin Schwarz algorithm for the NICEM Method: the Pq finite element case
Numerical Analysis
2014-01-31 v1 Analysis of PDEs
Abstract
In Gander et al. [2004] we proposed a new non-conforming domain decomposition paradigm, the New Interface Cement Equilibrated Mortar (NICEM) method, based on Schwarz type methods that allows for the use of Robin interface conditions on non-conforming grids. The error analysis was done for P1 finite elements, in 2D and 3D. In this paper, we provide new numerical analysis results that allow to extend this error analysis in 2D for piecewise polynomials of higher order and also prove the convergence of the iterative algorithm in all these cases.
Cite
@article{arxiv.1401.7943,
title = {Robin Schwarz algorithm for the NICEM Method: the Pq finite element case},
author = {Caroline Japhet and Yvon Maday and Frédéric Nataf},
journal= {arXiv preprint arXiv:1401.7943},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:0705.0288