# Polynomial preserving recovery of an over-penalized symmetric interior penalty Galerkin method for elliptic problems

@article{Song2015PolynomialPR, title={Polynomial preserving recovery of an over-penalized symmetric interior penalty Galerkin method for elliptic problems}, author={Lunji Song and Zhimin Zhang}, journal={Discrete and Continuous Dynamical Systems-series B}, year={2015}, volume={20}, pages={1405-1426} }

A polynomial preserving recovery technique is applied to an
over-penalized symmetric interior penalty method. The
discontinuous Galerkin solution values are used to recover the
gradient and to further construct an a posteriori error estimator in
the energy norm. In addition, for uniform triangular meshes and
mildly structured meshes satisfying the $\epsilon$-$\sigma$
condition, the method for the linear element is superconvergent
under the regular pattern and under the chevron patternâ€¦Â Expand

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