Name
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.jcp.2015.01.001 | Journal of Computational Physics |
Keywords | DocType | Volume |
Fractional diffusion,Finite elements,A posteriori error estimates,Nonlocal operators,Nonuniformly elliptic equations,Anisotropic elements,Adaptive algorithm | Journal | 293 |
ISSN | Citations | PageRank |
0021-9991 | 2 | 0.41 |
References | Authors | |
10 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Long Chen | 1 | 62 | 11.85 |
| Ricardo H. Nochetto | 2 | 907 | 110.08 |
| Enrique Otárola | 3 | 86 | 13.91 |
| Abner Salgado | 4 | 32 | 2.60 |