On Kirchhoff's Model of Parabolic Type

DOI10.1080/01630563.2016.1176930zbMath1405.65123arXiv1511.03798OpenAlexW2256333833MaRDI QIDQ3188454

Amiya K. Pani, Sudeep Kundu, Morrakot Khebchareon

Publication date: 19 August 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03798

zbMATH Keywords

finite element methodnumerical experimentsexistence of global attractorbackward Euler methodexponential decayparabolic typeKirchhoff's modeldiscrete attractornew regularity resultssemidiscrete error analysisuniform in time estimates

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Implicit finite element scheme with a penalty for a nonlocal parabolic obstacle problem of Kirchhoff type ⋮ A linearized L1-Galerkin FEM for non-smooth solutions of Kirchhoff type quasilinear time-fractional integro-differential equation ⋮ Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy ⋮ On a backward problem for the Kirchhoff's model of parabolic type ⋮ Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems ⋮ Final value problem for parabolic equation with fractional Laplacian and Kirchhoff's term ⋮ On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type ⋮ A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation ⋮ Finite element methods: research in India over the last decade ⋮ AN H1 -GALERKIN MIXED FINITE ELEMENT APPROXIMATION OF A NONLOCAL HYPERBOLIC EQUATION

Cites Work

• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Finite Element Method for a Nonlocal Problem of Kirchhoff Type
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