Finite element discretizations of nonlocal minimal graphs : Convergence.
Resumen:
In this paper, we propose and analyze a finite element discretization for the computation of fractional minimal graphs of order~s∈(0,1/2) on a bounded domain Ω. Such a Plateau problem of order s can be reinterpreted as a Dirichlet problem for a nonlocal, nonlinear, degenerate operator of order s+1/2. We prove that our numerical scheme converges in W2r1(Ω) for all r
| 2020 | |
| Juan Pablo Borthagaray ha sido financiado en parte por la beca DMS-1411808 de la NSF. | |
|
Nonlocal minimal surfaces Finite elements Fractional diffusion |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/47773 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
