Finite element algorithms for nonlocal minimal graphs

DOI10.3934/mine.2022016zbMath1497.65162arXiv2105.06079OpenAlexW3201368104MaRDI QIDQ2167590

Ricardo H. Nochetto, Juan Pablo Borthagaray, Wenbo Li

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06079

zbMATH Keywords

finite elementsfractional diffusionnonlocal minimal surfaces

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (3)

Boundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and Nochetto ⋮ The stickiness property for antisymmetric nonlocal minimal graphs ⋮ Fractional elliptic problems on Lipschitz domains: regularity and approximation

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