The paper proves novel trace inverse estimates that give unconditional stability and hp-version a priori error bounds for interior-penalty DG discretizations of the p-Laplacian, including on essentially arbitrary curved element meshes.
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$hp$-Version robust interior penalty discontinuous Galerkin methods for the $p$-Laplacian on simplicial and on essentially arbitrarily-shaped element meshes
The paper proves novel trace inverse estimates that give unconditional stability and hp-version a priori error bounds for interior-penalty DG discretizations of the p-Laplacian, including on essentially arbitrary curved element meshes.