Numerical analysis of some dual-phase-lag models

DOI10.1016/j.camwa.2018.09.044zbMath1442.65249OpenAlexW2896248179WikidataQ129095492 ScholiaQ129095492MaRDI QIDQ2203740

Noelia Bazarra, Maria Inês M. Copetti, José R. Fernández, Ramón Quintanilla

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/122914

zbMATH Keywords

finite elementsa priori estimatesheat conductionnumerical simulationsdual-phase-lag

Mathematics Subject Classification ID

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) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (9)

A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer ⋮ A meshless radial basis function based method for modeling dual-phase-lag heat transfer in irregular domains ⋮ Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction ⋮ Dual‐phase‐lag heat conduction with microtemperatures ⋮ On the influence of voids on the depth of an external signal in thermoelasticity with two relaxation times ⋮ Analysis of a contact problem problem involving an elastic body with dual-phase-lag ⋮ Numerical analysis of a dual-phase-lag model with microtemperatures ⋮ Modeling of laser heating of bi-layered microdomain using the general boundary element method ⋮ On the regularity and stability of the dual-phase-lag equation

Cites Work

• Unnamed Item
• Unnamed Item
• A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer
• Analysis of dual-phase-lag heat conduction in cylindrical system with a hybrid method
• A note on stability in dual-phase-lag heat conduction
• A note on the two-temperature theory with dual-phase-lag delay: some exact solutions
• Ill-posed problems in thermomechanics
• Thermoelasticity without energy dissipation
• Thermal oscillation and resonance in dual-phase-lagging heat conduction
• Exponential stability in the dual-phase-lag heat conduction theory
• Uniqueness theorems about high-order time differential thermoelastic models
• A new numerical method to simulate the non-Fourier heat conduction in a single-phase medium
• On the time differential dual-phase-lag thermoelastic model
• Difference schemes for numerical solutions of lagging models of heat conduction
• A novel SPH method for the solution of dual-phase-lag model with temperature-jump boundary condition in nanoscale
• Phase-lag heat conduction: decay rates for limit problems and well-posedness
• Numerical analysis and simulations of a dynamic frictionless contact problem with damage
• Dual-phase lag equation. Stability conditions of a numerical algorithm based on the explicit scheme of the finite difference method
• A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film
• Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod
• Spatial behaviour of solutions of the dual‐phase‐lag heat equation
• A unified procedure for construction of theories of deformable media. I. Classical continuum physics
• Qualitative aspects in dual-phase-lag heat conduction
• Qualitative Aspects in Dual-Phase-Lag Thermoelasticity
• Well-posedness and solution structure of dual-phase-lagging heat conduction
• Temperature-dependent thermal lagging in ultrafast laser heating.

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