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| Title: | Monotone two-scale methods for a class of integrodifferential operators and applications. |
| Authors: | Borthagaray, Juan Pablo Nochetto, Ricardo H. Salgado, Abner J. Torres, Céline |
| Type: | Preprint |
| Keywords: | Integrodifferential operators, Monotonicity, Obstacle problems, Fully nonlinear nonlocal equations, Rate of convergence |
| Issue Date: | 2024 |
| Abstract: | 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. |
| Publisher: | arXiv |
| IN: | Mathematics. Numerical Analysis (math.NA), arXiv:2405.17652v2, jul 2024, pp 1-37 |
| Sponsors: | Proyecto ANII - FCE_3_2022_1_172393 (Fondo Clemente Estable, modalidad II) |
| Citation: | Borthagaray, J., Nochetto, R., Salgado, A. y otros. Monotone two-scale methods for a class of integrodifferential operators and applications. [Preprint]. Publicado en: Mathematics. Numerical Analysis (math.NA), 2024, pp. 1-37. arXiv:2405.17652v2. DOI: 10.48550/arXiv.2405.17652 |
| Appears in Collections: | Publicaciones académicas y científicas - IMERL (Instituto de Matemática y Estadística Rafael Laguardia) Publicaciones académicas y científicas - Facultad de Ingeniería |
Files in This Item:
| File | Description | Size | Format | ||
|---|---|---|---|---|---|
| BNST24.pdf | Preprint | 496,15 kB | Adobe PDF | View/Open |
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