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Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions

โœ Scribed by W. Cao; L. Demkowicz


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
475 KB
Volume
50
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


Optimal p-interpolation error estimate is derived for the local, projection-based mterpolation for Hi-conforming elements in three space dimensions Two different procedures leading to the same loganthmm term ln3/2p in the estimate, are discussed (~) 2005 Elsevmr Ltd.


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We present constructive a priori error estimates for H 2 0 -projection into a space of polynomials on a one-dimensional interval. Here, ''constructive'' indicates that we can obtain the error bounds in which all constants are explicitly given or are represented in a numerically computable form. Usin