Volume 3, Issue 2
Superconvergence Properties of Discontinuous Galerkin Methods for Two-point Boundary Value Problems

R. Hartmann & P. Houston

DOI:

Int. J. Numer. Anal. Mod., 3 (2006), pp. 163-185

Published online: 2006-03

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  • Abstract

Three discontinuous Galerkin methods (SIPG, NIPG, DG) are considered for solving a one-dimensional elliptic problem. Superconvergence for the error at the interior node points and the derivative of the error at Gauss points are considered. All theorectical results obtained in the paper are supported by the results of numerical experiments.

  • Keywords

discontinuous Galerkin methods superconvergence 1D problem

  • AMS Subject Headings

65N15 65N30 76D07 41A25 35B45 35J20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-163, author = {R. Hartmann and P. Houston}, title = {Superconvergence Properties of Discontinuous Galerkin Methods for Two-point Boundary Value Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {2}, pages = {163--185}, abstract = {Three discontinuous Galerkin methods (SIPG, NIPG, DG) are considered for solving a one-dimensional elliptic problem. Superconvergence for the error at the interior node points and the derivative of the error at Gauss points are considered. All theorectical results obtained in the paper are supported by the results of numerical experiments. }, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/895.html} }
TY - JOUR T1 - Superconvergence Properties of Discontinuous Galerkin Methods for Two-point Boundary Value Problems AU - R. Hartmann & P. Houston JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 163 EP - 185 PY - 2006 DA - 2006/03 SN - 3 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/ijnam/895.html KW - discontinuous Galerkin methods KW - superconvergence KW - 1D problem AB - Three discontinuous Galerkin methods (SIPG, NIPG, DG) are considered for solving a one-dimensional elliptic problem. Superconvergence for the error at the interior node points and the derivative of the error at Gauss points are considered. All theorectical results obtained in the paper are supported by the results of numerical experiments.
R. Hartmann & P. Houston. (1970). Superconvergence Properties of Discontinuous Galerkin Methods for Two-point Boundary Value Problems. International Journal of Numerical Analysis and Modeling. 3 (2). 163-185. doi:
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