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.
Publication Source (Journal or Book title)
Electronic Transactions on Numerical Analysis
Brenner, S., Davis, C., & Sung, L. (2018). Additive schwarz preconditioners for the obstacle problem of clamped kirchhoff plates. Electronic Transactions on Numerical Analysis, 49, 274-290. https://doi.org/10.1553/etna_vol49s274