TY - JOUR T1 - A Spectral Method on Tetrahedra Using Rational Basis Functions AU - Li , H. AU - Wang , L.-L. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 330 EP - 355 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/723.html KW - Spectral methods on tetrahedra, rational basis functions, spectral accuracy. AB -

A spectral method using fully tensorial rational basis functions on tetrahedron, obtained from the polynomials on the reference cube through a collapsed coordinate transform, is proposed and analyzed. Theoretical and numerical results show that the rational approximation is as accurate as the polynomial approximation, but with a more effective implementation.