Interpolation, projection and hierarchical bases in discontinuous Galerkin methods. (arXiv:1102.3100v1 [math.NA])

Interpolation, projection and hierarchical bases in discontinuous Galerkin methods. (arXiv:1102.3100v1 [math.NA]): "

The paper presents results on piecewise polynomial approximations of tensor
product type in Sobolev-Slobodecki spaces by various interpolation and
projection techniques, on error estimates for quadrature rules and projection
operators based on hierarchical bases, and on inverse inequalities. The main
focus is directed to applications to discrete conservation laws.

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