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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Where has the time gone…and where does it go?

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General Techniques for Constructing Variational Integrators. (arXiv:1102.2685v1 [math.NA])

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Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation. (arXiv:1102.2520v1 [math.NA])

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