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math.NA2017
Spectral approximation of fractional PDEs in image processing and phase field modeling
Harbir Antil, Sören Bartels
Fractional differential operators provide an attractive mathematical tool to model effects with limited regularity properties. Particular examples are image processing and phase fi…
math.NA2017
Fractional Operators with Inhomogeneous Boundary Conditions: Analysis, Control, and Discretization
Harbir Antil, Johannes Pfefferer, Sergejs Rogovs
In this paper we introduce new characterizations of spectral fractional Laplacian to incorporate nonhomogeneous Dirichlet and Neumann boundary conditions. The classical cases with…