@Article{CiCP-12-1588, author = {}, title = {High Order Cubic-Polynomial Interpolation Schemes on Triangular Meshes}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {5}, pages = {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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.201210.250212a}, url = {http://global-sci.org/intro/article_detail/cicp/7348.html} }