On the Negative-Order Norm Accuracy of a Local-Structure-Preserving LDG Method |
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Authors: | Fengyan Li |
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Affiliation: | (1) School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St SE, Minneapolis, MN 55455, USA |
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Abstract: | The accuracy in negative-order norms is examined for a local-structure-preserving local discontinuous Galerkin method for
the Laplace equation (Li and Shu, in Methods Appl. Anal. 13:215–233, 2006). With its distinctive feature in using harmonic polynomials as local approximating functions, this method has lower computational
complexity than the standard local discontinuous Galerkin method while keeping the same order of accuracy in both the energy
and the L
2 norms. In this note, numerical experiments are presented to demonstrate some accuracy loss of the method in negative-order
norms. |
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Keywords: | |
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