Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models

DOI10.1137/19M1296720zbMath1485.65058OpenAlexW3006204015MaRDI QIDQ5216249

Xiaochuan Tian, Qiang Du

Publication date: 17 February 2020

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1296720

zbMATH Keywords

convergence analysisfinite elementnonlocal diffusionperidynamicslocal limitfractional PDEsasymptotically compatible schemes

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Numerical solutions to equations with linear operators (65J10) Discrete approximations in optimal control (49M25) Linear integral equations (45A05) Applications of functional analysis in numerical analysis (46N40)

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Uses Software

• PITCON

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