Multiscale computation method for an advection-diffusion equation

DOI10.1016/j.amc.2011.12.001zbMath1246.65181OpenAlexW2061514425MaRDI QIDQ433275

Zhan Xu, Jun-Zhi Cui, Hao Jiang, Fang Su, Xin-Peng Du

Publication date: 13 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.001

zbMATH Keywords

numerical resultsfinite element methodadvection-diffusion equationhomogenization methodEuler formatsecond-order and two-scale solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Homogenization of a variational problem in three-dimension space ⋮ An adapted Petrov–Galerkin multi-scale finite element method for singularly perturbed reaction–diffusion problems

Cites Work

• Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.
• Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
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