Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method

@article{Song2015SuperconvergencePO,
  title={Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method},
  author={Lunji Song and Zhimin Zhang},
  journal={J. Comput. Phys.},
  year={2015},
  volume={299},
  pages={1004-1020}
}
A polynomial preserving recovery method is introduced for over-penalized symmetric interior penalty discontinuous Galerkin solutions to a quasi-linear elliptic problem. As a post-processing method, the polynomial preserving recovery is superconvergent for the linear and quadratic elements under specified meshes in the regular and chevron patterns, as well as general meshes satisfying Condition ( ? , ? ) . By means of the averaging technique, we prove the polynomial preserving recovery method… Expand
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112 AUTOBIOGRAPHICAL STATEMENT 114

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