Year: 2014
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 3 : pp. 567–586
Abstract
Numerical solution of one-dimensional elliptic problems is investigated using an averaged discontinuous discretization. The corresponding numerical method can be performed using the favorable properties of the discontinuous Galerkin (dG) approach, while for the average an error estimation is obtained in the $H^1$-seminorm. We point out that this average can be regarded as a lower order modification of the average of a well-known overpenalized symmetric interior penalty (IP) method. This allows a natural derivation of the overpenalized IP methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-542
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 3 : pp. 567–586
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: discontinuous Galerkin method smoothing technique and error estimation.