Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods
Numer. Math. Theor. Meth. Appl., 8 (2015), pp. 425-450.
Published online: 2015-08
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@Article{NMTMA-8-425,
author = {Lutz Angermann and Christian Henke},
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} }
TY - JOUR
T1 - Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods
AU - Lutz Angermann & Christian Henke
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 -
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.
Lutz Angermann and Christian Henke. (2015). Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods.
Numerical Mathematics: Theory, Methods and Applications. 8 (3).
425-450.
doi:10.4208/nmtma.2015.m1305
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