Convergence results with natural norms: Stabilized Lagrange multiplier method for elliptic interface problems
Numerical Analysis
2017-05-31 v1
Abstract
A stabilized Lagrange multiplier method for second order elliptic interface problems is presented in the framework of mortar method. The requirement of LBB (Ladyzhenskaya-Babu\v{s}ka-Brezzi) condition for mortar method is alleviated by introducing penalty terms in the formulation. Optimal convergence results are established in natural norm which is independent of mesh. Numerical experiments are conducted in support of the theoretical derivations.
Cite
@article{arxiv.1705.10519,
title = {Convergence results with natural norms: Stabilized Lagrange multiplier method for elliptic interface problems},
author = {Sanjib Kumar Acharya and Ajit Patel},
journal= {arXiv preprint arXiv:1705.10519},
year = {2017}
}