"A partition of unity method for the obstacle problem of simply support" by Susanne C. Brenner, Christopher B. Davis et al.

Faculty Publications

Title

A partition of unity method for the obstacle problem of simply supported Kirchhoff plates

Authors

Susanne C. Brenner, Louisiana State University
Christopher B. Davis, Louisiana State University
Li Yeng Sung, Louisiana State University

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

Last Page

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

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