TY - JOUR
T1 - High Order Cubic-Polynomial Interpolation Schemes on Triangular Meshes
AU - Renzhong Feng
JO - Communications in Computational Physics
VL - 5
SP - 1588
EP - 1602
PY - 2012
DA - 2012/12
SN - 12
DO - http://doi.org/10.4208/cicp.201210.250212a
UR - https://global-sci.org/intro/article_detail/cicp/7348.html
KW - 
AB - <p style="text-align: justify;">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.&nbsp;</p>