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

Hongsen Chen

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 theoretical results obtained in the paper are supported by the results of numerical experiments.

  • Keywords

discontinuous Galerkin methods, superconvergence, 1D problem.

  • AMS Subject Headings

Primary 65N15, 65N30, 76D07, Secondary 41A25, 35B45, 35J20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-163, author = {Chen , Hongsen}, 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 theoretical 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 - Chen , Hongsen JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 163 EP - 185 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/895.html KW - discontinuous Galerkin methods, superconvergence, 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 theoretical results obtained in the paper are supported by the results of numerical experiments.

Chen , Hongsen. (2006). 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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