Finite element algorithms for nonlocal minimal graphs

Finite element algorithms for nonlocal minimal graphs

We discuss computational and qualitative aspects of the fractional Plateau and the prescribed fractional mean curvature problems on bounded domains subject to exterior data being a subgraph. We recast these problems in terms of energy minimization, and we discretize the latter with piecewise linear...

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Bibliographic Details
Main Authors: Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:Mathematics in Engineering
Subjects:
nonlocal minimal surfaces
finite elements
fractional diffusion
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2022016?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/mine.2022016?viewType=HTML

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