Commun. Comput. Phys., 12 (2012), pp. 1588-1602.

High Order Cubic-Polynomial Interpolation Schemes on Triangular Meshes

Renzhong Feng 1*

1 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.

Received 20 December 2010; Accepted (in revised version) 25 February 2012
Available online 11 June 2012


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.

AMS subject classifications: 65M99, 82D37, 82-08

Notice: Undefined variable: pac in /var/www/html/issue/abstract/readabs.php on line 164
Key words: Cubic-Polynomial Interpolation scheme, hyperbolic equations, triangular mesh.

*Corresponding author.
Email: (R. Feng)

The Global Science Journal