TY - JOUR
T1 - Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 425
EP - 450
PY - 2015
DA - 2015/08
SN - 8
DO - http://doi.org/10.4208/nmtma.2015.m1305
UR - https://global-sci.org/intro/article_detail/nmtma/12417.html
KW - 
AB - <p style="text-align: justify;">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.</p>