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| description |
Several variants of extrapolation can be used for elliptic partial
differential equations. They are Richardson extrapolation,
truncation error extrapolation and extrapolation of the functional.
In multi-dimensional problems, multivariate error expansions can be
exploited by multivariate extrapolation, where the asymptotic
expansions in different mesh parameters are exploited. Particularly
interesting cases are the combination technique that uses all the
grids that have constant product of the meshspacings in the
different coordinate directions. Another related technique is the
sparse grid finite element technique that can be interpreted as a
combination extrapolation of the functional.
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| publisher |
North Holland: Elsevier
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| type |
Text
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| Article in Journal
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| source |
In: Comput. Methods Appl. Mech. Eng.. Vol. 116, pp. 243-252
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| contributor |
IPVS, Simulation großer Systeme
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| Hans-Joachim Bungartz
| subject |
Mathematics of Computing General (CR G.0)
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