Publisher DOI: 10.1016/
Title: FFT-based evaluation of multivariate aggregation integrals in population balance equations on uniform tensor grids
Language: English
Authors: Ahrens, Robin 
Le Borne, Sabine  
Issue Date: 15-Aug-2018
Source: Journal of Computational and Applied Mathematics (338): 280-297 (2018-08-15)
Abstract (english): 
We consider the numerical solution of the multivariate aggregation population balance equation on a uniform tensor grid. We introduce a multidimensional fast Fourier transformation for the efficient evaluation of the aggregation integrals leading to a reduction in the complexity order of the algorithm compared to the direct evaluation approach. We illustrate the new evaluation algorithm for two discretizations, an FEM approach as well as the sectional method. We discuss the conservation of moments for these methods and provide numerical comparisons illustrating the superior performance of FFT-based algorithms. We also discuss and numerically illustrate their potential for parallelization.
ISSN: 0377-0427
Journal: Journal of computational and applied mathematics 
Institute: Mathematik E-10 
Document Type: Article
Project: SPP 1679: Teilprojekt "Numerische Lösungsverfahren für gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation" 
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