Monotone two-scale methods for a class of integrodifferential operators and applications.
Resumen:
We develop a monotone, two-scale discretization for a class of integrodifferential operators of order 2s, s ∈ (0,1). We apply it to develop numerical schemes, and derive pointwise convergence rates, for linear and obstacle problems governed by such operators. As applications of the monotonicity, we provide error estimates for free boundaries and a convergent numerical scheme for a concave fully nonlinear, nonlocal, problem.
| 2024 | |
| Proyecto ANII - FCE_3_2022_1_172393 (Fondo Clemente Estable, modalidad II) | |
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Integrodifferential operators Monotonicity Obstacle problems Fully nonlinear nonlocal equations Rate of convergence |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/47503 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
