A splice method for local-to-nonlocal coupling of weak forms

DOI10.1016/J.CMA.2024.117216MaRDI QIDQ6595886

Christian Glusa, Shuai Jiang

Publication date: 30 August 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

nonlocal equationscouplinglocal-to-nonlocal

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Elliptic partial differential equations of second order
• Reformulation of elasticity theory for discontinuities and long-range forces
• A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
• Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
• On the strong maximum principle for nonlocal operators
• The finite element methods for elliptic problems.
• Asymptotically compatible schemes and applications to robust discretization of nonlocal models
• Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
• Quasi-nonlocal Coupling of Nonlocal Diffusions
• Numerical methods for nonlocal and fractional models

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