Harbir Antil, Sören Bartels
tlooto Summary
Fractional differential operators provide an attractive mathematical tool to model effects with limited regularity properties in image processing and phase field models in which jumps across lower dimensional subsets and sharp transitions across interfaces are of interest.
Abstract
Abstract Fractional differential operators provide an attractive mathematical tool to model effects with limited regularity properties. Particular examples are image processing and phase field models in which jumps across lower dimensional subsets and sharp transitions across interfaces are of interest. The numerical solution of corresponding model problems via a spectral method is analyzed. Its efficiency and features of the model problems are illustrated by numerical experiments.
Citation format
ANTIL, Harbir; BARTELS, Sören. Spectral approximation of fractional PDEs in image processing and phase field modeling [preprint]. arXiv, 2017. arXiv:1704.00377.