A PDE approach to fractional diffusion: A posteriori error analysis
نویسندگان
چکیده
We derive a computable a posteriori error estimator for the αharmonic 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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ورودعنوان ژورنال:
- J. Comput. Physics
دوره 293 شماره
صفحات -
تاریخ انتشار 2015