Study of the convergence of the finite-element method for parabolic equations with a nonlinear nonlocal spatial operator

DOI10.1134/S001226611507006XzbMath1338.65224OpenAlexW1121120541MaRDI QIDQ745265

D. Kharzeev

Publication date: 14 October 2015

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226611507006x

zbMATH Keywords

algorithmstabilityconvergencenonlinear parabolic equationfinite element methodsemidiscretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

On unique solvability of one nonlinear nonlocal with respect to the solution gradient nonstationary problem ⋮ Existence and uniqueness of weak solutions for nonlocal parabolic problems via the Galerkin method ⋮ On convergence of explicit differential scheme for solving one parabolic equation with double degeneration and nonlocal space operator ⋮ Numerical Method for Solving an Inverse Boundary Problem with Unknown Initial Conditions for Parabolic PDE Using Discrete Regularization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the solvability of an evolution variational inequality with a nonlocal space operator
• On the solvability of nonlocal nonstationary problems with double degeneration
• Quasilinear elliptic-parabolic differential equations
• The unique solvability of a certain nonlocal nonlinear problem with a spatial operator strongly monotone with respect to the gradient
• \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
• Sur la résolution de certaines équations paraboliques non linéaires
• Asymptotic behaviour of some nonlocal diffusion problems
• QUASILINEAR ELLIPTIC AND PARABOLIC EQUATIONS OF ARBITRARY ORDER

This page was built for publication: Study of the convergence of the finite-element method for parabolic equations with a nonlinear nonlocal spatial operator