Discontinuous Galerkin methods for the p-biharmonic equation from a discrete variational perspectivePryer, 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
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. Official URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol41/a... Abstract/SummaryWe 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.
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