Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.

DOI10.1016/S0377-0427(03)00372-8zbMath1038.65121OpenAlexW2147323870MaRDI QIDQ1405171

Jun-Zhi Cui, Li-qun Cao, Jian-lan Luo

Publication date: 25 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00372-8

zbMATH Keywords

numerical resultsfinite element methodmultiscale asymptotic expansionpost-processing techniquehighly oscillatory coefficientsecond-order elliptic type equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (7)

A multiscale asymptotic expansion for combustion system with composite materials ⋮ Multi-scale method for the quasi-periodic structures of composite materials ⋮ Multiscale computation method for an advection-diffusion equation ⋮ Multiscale computation method for parabolic problems of composite materials ⋮ A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients ⋮ Localized harmonic characteristic basis functions for multiscale finite element methods ⋮ The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials

Cites Work

• Asymptotic expansions in perforated media with a periodic structure
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
• Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
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