The Euler-Galerkin finite element method for nonlocal diffusion problems with ap-Laplace-type operator

DOI10.1080/00036811.2018.1445227zbMath1422.65402OpenAlexW2791374717MaRDI QIDQ5228582

M. Mbehou

Publication date: 12 August 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1445227

zbMATH Keywords

\(p\)-Laplace operatorGalerkin finite-element methodEuler schemeoptimal error estimatenonlocal diffusion term

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)

Related Items (4)

Numerical methods for a nonlocal parabolic problem with nonlinearity of Kirchhoff type ⋮ Stability analysis of the Crank-Nicolson finite element method for the Navier-Stokes equations driven by slip boundary conditions ⋮ On the two-step BDF finite element methods for the incompressible Navier-Stokes problem under boundary conditions of friction type ⋮ Optimal error estimates of a linearized second-order BDF scheme for a nonlocal parabolic problem

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