Additive Schwarz preconditioners for a state constrained elliptic distributed optimal control problem discretized by a partition of unity method
Numerical Analysis
2018-11-20 v1
Abstract
We present additive Schwarz preconditioners for a class of elliptic optimal control problems discretized by a partition of unity method. The discrete problem is solved by a primal-dual active set algorithm, where the auxiliary system in each iteration is solved by a preconditioned conjugate gradient method based on additive Schwarz preconditioners. Condition number estimates are given and verified by a numerical example.
Keywords
Cite
@article{arxiv.1811.07809,
title = {Additive Schwarz preconditioners for a state constrained elliptic distributed optimal control problem discretized by a partition of unity method},
author = {Susanne C. Brenner and Christopher B. Davis and Li-yeng Sung},
journal= {arXiv preprint arXiv:1811.07809},
year = {2018}
}