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High Order Cubic-Polynomial Interpolation Schemes on Triangular Meshes

Published online by Cambridge University Press:  20 August 2015

Renzhong Feng
Renzhong Feng*
Affiliation:
School of Mathematics and Systematic Science & Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
*
*Corresponding author.Email address:fengrz@buaa.edu.cn
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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.

Keywords

65M9982D3782-08Cubic-Polynomial Interpolation schemehyperbolic equationstriangular mesh
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 5 , November 2012 , pp. 1588 - 1602
Copyright
Copyright © Global Science Press Limited 2012

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