Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data

DOI10.1016/j.cam.2014.08.009zbMath1334.65156arXiv1401.5134OpenAlexW1996106700MaRDI QIDQ457710

Amiya K. Pani, Samir Karaa

Publication date: 29 September 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5134

zbMATH Keywords

optimal error estimatesmixed finite element methodsemidiscrete Galerkin approximationhyperbolic integro-differential equationcompletely discrete implicit methodminimal smoothness on initial data

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

A viscoelastic Timoshenko beam model: regularity and numerical approximation ⋮ FEM-IDS for a second order strongly damped wave equation with memory ⋮ A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation ⋮ Symmetric finite volume element approximations of second order linear hyperbolic integro-differential equations

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