Discontinuous Galerkin methods for the p-biharmonic equation from a discrete variational perspective

Pryer, T. (2014) Discontinuous Galerkin methods for the p-biharmonic equation from a discrete variational perspective. Electronic Transactions on Numerical Analysis, 41. pp. 328-349. ISSN 1068-9613

Abstract/Summary

We study discontinuous Galerkin approximations of the p-biharmonic equation for p∈(1,∞) from a variational perspective. We propose a discrete variational formulation of the problem based on an appropriate definition of a finite element Hessian and study convergence of the method (without rates) using a semicontinuity argument. We also present numerical experiments aimed at testing the robustness of the method.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/40919
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Kent State University
Download/View statistics	View download statistics for this item