Additive Schwarz Preconditioners for the Obstacle Problem of Clamped Kirchhoff Plates
Numerical Analysis
2018-09-18 v1
Abstract
When the obstacle problem of clamped Kirchhoff plates is discretized by a partition of unity method, the resulting discrete variational inequalities can be solved by a primal-dual active set algorithm. In this paper we develop and analyze additive Schwarz preconditioners for the systems that appear in each iteration of the primal-dual active set algorithm. Numerical results that corroborate the theoretical estimates are also presented.
Keywords
Cite
@article{arxiv.1809.06311,
title = {Additive Schwarz Preconditioners for the Obstacle Problem of Clamped Kirchhoff Plates},
author = {Susanne C. Brenner and Christopher B. Davis and Li-yeng Sung},
journal= {arXiv preprint arXiv:1809.06311},
year = {2018}
}