@Article{CiCP-30-1,
author = {Wang, Cheng and Sun, Pengtao},
title = {An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems},
journal = {Communications in Computational Physics},
year = {2021},
volume = {30},
number = {1},
pages = {124--143},
abstract = {<p style="text-align: justify;">In this paper, an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite (2,2) block. Convergence of the iterative method is proved under the assumption that the double saddle-point problem exists a unique solution. An application of
the iterative method to the double saddle-point systems arising from the distributed
Lagrange multiplier/fictitious domain (DLM/FD) finite element method for solving
elliptic interface problems is also presented, in which the existence and uniqueness
of the double saddle-point system is guaranteed by the analysis of the DLM/FD finite element method. Numerical experiments are conducted to validate the theoretical
results and to study the performance of the proposed iterative method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2020-0084},
url = {https://global-sci.com/article/79563/an-augmented-lagrangian-uzawa-iterative-method-for-solving-double-saddle-point-systems-with-semidefinite-22-block-and-its-application-to-dlmfd-method-for-elliptic-interface-problems}
}