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Journal of Scientific Computing

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01-06-2014

Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method

Convergence Analysis of DWDG

Authors: Thomas Lewis, Michael Neilan

Published in: Journal of Scientific Computing | Issue 3/2014

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Abstract

A new symmetric discontinuous Galerkin method for second order elliptic problems is analyzed. We show that the numerical method is stable for any positive penalty parameter and converges with optimal order provided the exact solution is sufficiently regular. These results are also shown to hold for some non-positive penalty parameters. Numerical experiments are presented that support the theoretical results.

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Title: Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method
Convergence Analysis of DWDG
Authors: Thomas Lewis
Michael Neilan
Publication date: 01-06-2014
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 3/2014
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-013-9773-1

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