A multiscale parallel algorithm for dual-phase-lagging heat conduction equation in composite materials
DOI10.1016/j.cam.2020.113024zbMath1452.65261OpenAlexW3037602151MaRDI QIDQ2195913
Publication date: 28 August 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113024
finite element methodhomogenizationcomposite materialsdual-phase-lagging heat conduction equationLaplace transformationmultiscale asymptotic method
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) Parallel numerical computation (65Y05) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A basis theory primer.
- A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
- Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
- \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations
- Analysis and application of finite volume element methods to a class of partial differential equations
- Non-homogeneous media and vibration theory
- Sur la convergence de solutions d'équations paraboliques
- An approximate analytic method for solving 1D dual-phase-lagging heat transport equations
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film
- Resolvent estimates in \(L^ p\) for elliptic systems in Lipschitz domains
- Constraint energy minimizing generalized multiscale finite element method
- Non-local multi-continua upscaling for flows in heterogeneous fractured media
- Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains
- Lp resolvent estimates for variable coefficient elliptic systems on Lipschitz domains
- Analysis of the heterogeneous multiscale method for parabolic homogenization problems
- A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film
- Multiscale Computation and Convergence for Coupled Thermoelastic System in Composite Materials
- A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale
This page was built for publication: A multiscale parallel algorithm for dual-phase-lagging heat conduction equation in composite materials