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A Spectral Method on Tetrahedra Using Rational Basis Functions
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@Article{IJNAM-7-330,
author = {Li , H. and Wang , L.-L.},
title = {A Spectral Method on Tetrahedra Using Rational Basis Functions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {2},
pages = {330--355},
abstract = {
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.
}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/723.html} }
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.
Li , H. and Wang , L.-L.. (2010). A Spectral Method on Tetrahedra Using Rational Basis Functions.
International Journal of Numerical Analysis and Modeling. 7 (2).
330-355.
doi:
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