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math.NA2022★ 4 cited
An a posteriori error estimator for the spectral fractional power of the Laplacian
Raphaël Bulle, Olga Barrera, Stéphane P. A. Bordas +2
We develop a novel a posteriori error estimator for the error committed by the finite element discretization of the solution of the fractional Laplacian. Our a posteriori err…
math.NA2021
Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project
Raphaël Bulle, Jack S. Hale, Alexei Lozinski +2
In the seminal paper of Bank and Weiser [Math. Comp., 44 (1985), pp.283-301] a new a posteriori estimator was introduced. This estimator requires the solution of a local Neumann pr…