Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519750 | Journal of Computational Physics | 2015 | 20 Pages |
Abstract
We derive a computable a posteriori error estimator for the α-harmonic extension problem, which localizes the fractional powers of elliptic operators supplemented with Dirichlet boundary conditions. Our a posteriori error estimator relies on the solution of small discrete problems on anisotropic cylindrical stars. It exhibits built-in flux equilibration and is equivalent to the energy error up to data oscillation, under suitable assumptions. We design a simple adaptive algorithm and present numerical experiments which reveal a competitive performance.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado,