Finite element approximation and analysis of damped viscoelastic hyperbolic integrodifferential equations with \(L^1\) kernel

DOI10.1016/J.AML.2024.108993zbMATH Open1539.65206MaRDI QIDQ6540935

Ming-Chao Zhao, Wenlin Qiu

Publication date: 17 May 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

finite elementerror estimateglobal existence and uniquenesshyperbolic integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) 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)

Cites Work

• Title not available (Why is that?)
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• Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
• Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method
• Decay properties for the numerical solutions of a partial differential equation with memory
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• A stability result for a class of nonlinear integrodifferential equations with L¹kernels
• Finite element methods for parabolic and hyperbolic partial integro-differential equations
• Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
• Continuous Galerkin finite element methods for hyperbolic integro-differential equations
• A viscoelastic Timoshenko beam: Model development, analysis, and investigation
• A viscoelastic Timoshenko beam model: regularity and numerical approximation

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