A radial basis function Galerkin method for inhomogeneous nonlocal diffusion

DOI10.1016/j.cma.2015.10.021zbMath1425.65167OpenAlexW2337868756MaRDI QIDQ2414589

Richard B. Lehoucq, Stephen Rowe

Publication date: 17 May 2019

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

Full work available at URL: https://www.osti.gov/biblio/1237367

zbMATH Keywords

radial basis functionsvolume constraintnonlocal diffusionLagrange functions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items

Numerical methods for nonlocal and fractional models ⋮ An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems ⋮ On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods ⋮ Analysis of (shifted) piecewise quadratic polynomial collocation for nonlocal diffusion model ⋮ Localized Chebyshev and MLS collocation methods for solving 2D steady state nonlocal diffusion and peridynamic equations ⋮ A mesh-free pseudospectral approach to estimating the fractional Laplacian via radial basis functions ⋮ Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems ⋮ An inverse theorem for compact Lipschitz regions in ℝ^{𝕕} using localized kernel bases ⋮ A meshless Galerkin method for non-local diffusion using localized kernel bases ⋮ A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs

Uses Software

• Matlab

Cites Work

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• Scattered Data Approximation