A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models

DOI10.1137/120871638zbMath1271.82011OpenAlexW1990654557MaRDI QIDQ2840395

Publication date: 18 July 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d1273a1a02df1437a4a90c8fd1b5ac5914a59ea3

zbMATH Keywords

convergence adaptive finite element method a posteriori error estimation nonlocal diffusion peridynamics fractional Sobolev space

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Linear integral equations (45A05) Applications of functional analysis to differential and integral equations (46N20)

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