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Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systems

✍ Scribed by Slimane Adjerid; Joseph E. Flaherty

Publisher
Springer-Verlag
Year
1988
Tongue
English
Weight
830 KB
Volume
53
Category
Article
ISSN
0029-599X

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We develop a posteriori finite element discretization error estimates for the wave equation. In one dimension, we show that the significant part of the spatial finite element error is proportional to a Lobatto polynomial and an error estimate is obtained by solving a set of either local elliptic or

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We analyze the discontinuous finite element errors associated with p-degree solutions for two-dimensional first-order hyperbolic problems. We show that the error on each element can be split into a dominant and less dominant component and that the leading part is Oðh pþ1 Þ and is spanned by two (p þ