A partition of unity method for the obstacle problem of simply supported Kirchhoff plates
Document Type
Conference Proceeding
Publication Date
1-1-2015
Abstract
We consider a partition of unity method (PUM) for the displacement obstacle problem of simply supported Kirchhoff plates. We show that this method converges optimally in the energy norm on general polygonal domains provided that appropriate singular enrichment functions are included in the approximation space. The performance of the method is illustrated by numerical examples.
Publication Source (Journal or Book title)
Lecture Notes in Computational Science and Engineering
First Page
23
Last Page
41
Recommended Citation
Brenner, S., Davis, C., & Sung, L. (2015). A partition of unity method for the obstacle problem of simply supported Kirchhoff plates. Lecture Notes in Computational Science and Engineering, 100, 23-41. https://doi.org/10.1007/978-3-319-06898-5_2