Volume 9, Issue 4
Second Order Convergence of the Interpolation Based on $Q^c_1$-Element

Numer. Math. Theor. Meth. Appl., 9 (2016), pp. 595-618.

Published online: 2016-09

Preview Purchase PDF 79 3804
Export citation

Cited by

• 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.

• Keywords

• BibTex
• RIS
• TXT
@Article{NMTMA-9-595, author = {}, title = {Second Order Convergence of the Interpolation Based on $Q^c_1$-Element}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2016}, volume = {9}, number = {4}, pages = {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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2016.m1503}, url = {http://global-sci.org/intro/article_detail/nmtma/12391.html} }
TY - JOUR T1 - Second Order Convergence of the Interpolation Based on $Q^c_1$-Element JO - Numerical Mathematics: Theory, Methods and Applications VL - 4 SP - 595 EP - 618 PY - 2016 DA - 2016/09 SN - 9 DO - http://doi.org/10.4208/nmtma.2016.m1503 UR - https://global-sci.org/intro/article_detail/nmtma/12391.html KW - AB -

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.

Ruijian He & Xinlong Feng. (2020). Second Order Convergence of the Interpolation Based on $Q^c_1$-Element. Numerical Mathematics: Theory, Methods and Applications. 9 (4). 595-618. doi:10.4208/nmtma.2016.m1503
Copy to clipboard
The citation has been copied to your clipboard