Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods

Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods

Year:    2015

Numerical Mathematics: Theory, Methods and Applications, Vol. 8 (2015), Iss. 3 : pp. 425–450

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2015.m1305

Numerical Mathematics: Theory, Methods and Applications, Vol. 8 (2015), Iss. 3 : pp. 425–450

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:   

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