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Volume 8, Issue 3
Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods

Lutz Angermann & Christian Henke

Numer. Math. Theor. Meth. Appl., 8 (2015), pp. 425-450.

Published online: 2015-08

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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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@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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