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Second Order Convergence of the Interpolation Based on $Q^c_1$-Element

Second Order Convergence of the Interpolation Based on $Q^c_1$-Element

Year:    2016

Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 : pp. 595–618

Abstract

In this paper, the second order convergence of the interpolation based on $Q^c_1$-element is derived in the case of $d$=1, 2 and 3. Using the integral average on each element, the new basis functions of tensor product type is builded up and we can easily extend it to the higher dimensional case. Finally, some numerical tests are made to show the analytical results of the interpolation errors.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2016.m1503

Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 : pp. 595–618

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:   

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