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Superconvergence Properties of Discontinuous Galerkin Methods for Two-Point Boundary Value Problems
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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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