REAL

Energy norm error estimates for averaged discontinuous Galerkin methods in 1 dimension

Csörgő, Gábor and Izsák, Ferenc (2014) Energy norm error estimates for averaged discontinuous Galerkin methods in 1 dimension. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 11 (3). pp. 567-586. ISSN 1705-5105

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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 i?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. © 2014 Institute for Scientific Computing and Information.

Item Type: Article
Uncontrolled Keywords: Smoothing technique; Discontinuous Galerkin method; And error estimation
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 11 Feb 2015 09:57
Last Modified: 11 Feb 2015 09:57
URI: http://real.mtak.hu/id/eprint/21528

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