Title | Exact calculation of Fourier series in nonconforming spectral-element methods |
Publication Type | Journal Article |
Year of Publication | 2006 |
Authors | Fournier, A |
Journal | Journal of Computational Physics |
Volume | 215 |
Issue | 1 |
Pagination | 1 - 5 |
Date Published | Jan-06-2006 |
ISSN | 00219991 |
Abstract | In this note is presented a method, given nodal values on multi-dimensional nonconforming spectral elements, for calculating global Fourier-series coefficients. This method is “exact” in the sense that given the approximation inherent in the spectral-element method (SEM), no additional error is introduced that exceeds accumulated computer round-off error. The method would be very useful when the SEM provides an adaptive-mesh simulation of a physical quantity whose global Fourier spectrum is of scientific interest, e.g., in dynamically adaptive fluid-dynamics simulations such as [7]. |
URL | http://www.sciencedirect.com/science/article/pii/S0021999105004973 |
DOI | 10.1016/j.jcp.2005.11.023 |
Short Title | Journal of Computational Physics |