A Spectral Method on Tetrahedra Using Rational Basis Functions

A Spectral Method on Tetrahedra Using Rational Basis Functions

Year:    2010

Author:    H. Li, L.-L. Wang

International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2010-IJNAM-723

International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 2 : pp. 330–355

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Spectral methods on tetrahedra rational basis functions spectral accuracy.

Author Details

H. Li

L.-L. Wang