Publication Date:
2012-04-17
Description:
In this paper we develop isoparametric C 0 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 0 interior penalty methods. Numerical results that illustrate the performance of these methods are presented. Content Type Journal Article Pages 1-33 DOI 10.1007/s10092-012-0057-1 Authors Susanne C. Brenner, Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA Michael Neilan, Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA Li-Yeng Sung, Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
Print ISSN:
0008-0624
Electronic ISSN:
1126-5434
Topics:
Mathematics
