A C⁰ interior penalty method for a von Kármán plate

Authors

Susanne C. Brenner, Louisiana State University
Michael Neilan, University of Pittsburgh
Armin Reiser, Walther-Groz-Schule
Li Yeng Sung, Louisiana State University

Document Type

Article

Publication Date

3-1-2017

Abstract

We investigate a quadratic C interior penalty method for the approximation of isolated solutions of a von Kármán plate. We prove that the discrete problem is uniquely solvable near an isolated solution and establish optimal order error estimates. Numerical results that illustrate the theoretical estimates are also presented. 0

Publication Source (Journal or Book title)

Numerische Mathematik

First Page

803

Last Page

832

Recommended Citation

Brenner, S., Neilan, M., Reiser, A., & Sung, L. (2017). A C⁰ interior penalty method for a von Kármán plate. Numerische Mathematik, 135 (3), 803-832. https://doi.org/10.1007/s00211-016-0817-y