Pointwise Error Estimation for the One-Dimensional Transport Equation Based on the Variational Multiscale Method
2017 ◽
Vol 14
(04)
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pp. 1750040
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Keyword(s):
The One
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This paper presents an exact pointwise error estimator applied to the transport equation. The error estimate, which is represented by a combination of residual-free bubble and Green’s functions, is computed by postprocessing the finite element solution. The fine or unresolved scales are analyzed applying the variational multiscale method. The technology can be applied to linear and high-order elements. Numerical examples are presented in which the satisfactory results corroborate the theoretical foundations.
2016 ◽
Vol 311
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pp. 648-670
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2013 ◽
Vol 122
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pp. 88-100
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2016 ◽
Vol 40
(2)
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pp. 1097-1109
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2007 ◽
Vol 196
(41-44)
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pp. 4045-4058
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2013 ◽
Vol 2
(3)
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pp. 17-22
2010 ◽
Vol 229
(9)
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pp. 3402-3414
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2015 ◽
Vol 7
(1-2)
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pp. 14-24
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Keyword(s):