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Volume 7, Issue 2
A Spectral Method on Tetrahedra Using Rational Basis Functions

H. Li & L.-L. Wang

Int. J. Numer. Anal. Mod., 7 (2010), pp. 330-355.

Published online: 2010-07

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  • 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.

  • Keywords

Spectral methods on tetrahedra, rational basis functions, spectral accuracy.

  • AMS Subject Headings

65N35, 65N22, 65F05, 35J05

  • Copyright

COPYRIGHT: © Global Science Press

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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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