|Title||Exact calculation of Fourier series in nonconforming spectral-element methods|
|Publication Type||Journal Article|
|Year of Publication||2006|
|Journal||Journal of Computational Physics|
|Pagination||1 - 5|
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 .
|Short Title||Journal of Computational Physics|