A Nitsche-based domain decomposition method for hypersingular integral equations
Numerical Analysis
2011-02-02 v1
Abstract
We introduce and analyze a Nitsche-based domain decomposition method for the solution of hypersingular integral equations. This method allows for discretizations with non-matching grids without the necessity of a Lagrangian multiplier, as opposed to the traditional mortar method. We prove its almost quasi-optimal convergence and underline the theory by a numerical experiment.
Cite
@article{arxiv.1102.0202,
title = {A Nitsche-based domain decomposition method for hypersingular integral equations},
author = {Franz Chouly and Norbert Heuer},
journal= {arXiv preprint arXiv:1102.0202},
year = {2011}
}
Comments
21 pages, 5 figures