High Order Cubic-Polynomial Interpolation Schemes on Triangular Meshes

High Order Cubic-Polynomial Interpolation Schemes on Triangular Meshes

Year:    2012

Communications in Computational Physics, Vol. 12 (2012), Iss. 5 : pp. 1588–1602

Abstract

The Cubic-Polynomial Interpolation scheme has been developed and applied to many practical simulations. However, it seems the existing Cubic-Polynomial Interpolation scheme are restricted to uniform rectangular meshes. Consequently, this scheme has some limitations to problems in irregular domains. This paper will extend the Cubic-Polynomial Interpolation scheme to triangular meshes by using some spline interpolation techniques. Numerical examples are provided to demonstrate the accuracy of the proposed schemes. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.201210.250212a

Communications in Computational Physics, Vol. 12 (2012), Iss. 5 : pp. 1588–1602

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords: