Isoparametric C ⁰ interior penalty methods for plate bending problems on smooth domains

Authors

Susanne C. Brenner, Louisiana State University
Michael Neilan, Louisiana State University
Li Yeng Sung, Louisiana State University

Document Type

Article

Publication Date

3-1-2013

Abstract

In this paper we develop isoparametric C interior penalty methods for plate bending problems on smooth domains. The orders of convergence of these methods are shown to be optimal in the energy norm. We also consider the convergence of these methods in lower order Sobolev norms and discuss subparametric C interior penalty methods. Numerical results that illustrate the performance of these methods are presented. © 2012 Springer-Verlag. 0 0

Publication Source (Journal or Book title)

Calcolo

First Page

35

Last Page

67

Recommended Citation

Brenner, S., Neilan, M., & Sung, L. (2013). Isoparametric C ⁰ interior penalty methods for plate bending problems on smooth domains. Calcolo, 50 (1), 35-67. https://doi.org/10.1007/s10092-012-0057-1