@Article{NMTMA-8-425, author = {}, title = {Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2015}, volume = {8}, number = {3}, pages = {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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2015.m1305}, url = {http://global-sci.org/intro/article_detail/nmtma/12417.html} }