Abstract
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.
Original language | English |
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Pages (from-to) | 328-349 |
Number of pages | 22 |
Journal | Electronic Transactions on Numerical Analysis |
Volume | 41 |
Publication status | Published - 2014 |
Bibliographical note
Publisher Copyright:Copyright © 2014, Kent State University.
Keywords
- Discontinuous Galerkin finite element method
- Discrete variational problem
- p-biharmonic equation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics