Work

Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition

Year: 2023

Type: preprint

Abstract: In this paper, we propose nonlocal diffusion models with Dirichlet boundary. These nonlocal diffusion models preserve the maximum principle and also have corresponding variational form. With these good properties, we can prove the well-posedness and the vanishing nonlocality convergence. Furthermore, by specifically designed weight function, we can get a nonlocal diffusion model with second order convergence which is optimal for nonlocal diffusion models.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2310.01221

Authors: Meng, Yanzun, Shi, Zuoqiang

Institution: Tsinghua University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G2485535630, G2959462471

OpenAlex ID: W4387322914

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