Interpolation, projection and hierarchical bases in discontinuous Galerkin methods

Details Interpolation, projection and hierarchical bases in discontinuous Galerkin methods Interpolation, projection and hierarchical bases in discontinuous Galerkin methods

2011-02-15

arxiv.org/abs/1102.3100v1

Mathematics

Numerical Analysis

Scientific paper

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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