Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates

DOI10.1016/j.cma.2018.05.035zbMath1440.65165OpenAlexW2808453668WikidataQ129654441 ScholiaQ129654441MaRDI QIDQ1986303

Qiang Ma, Zhi-Hui Li, Jun-Zhi Cui

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.05.035

zbMATH Keywords

finite element approximationeigenvalue problemscoordinate transformationhomogenization methodmulti-scale asymptotic expansion

Mathematics Subject Classification ID

Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials ⋮ Multiscale asymptotic analysis and algorithm for the quadratic eigenvalue problem in composite materials ⋮ Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities ⋮ A novel second-order reduced homogenization approach for nonlinear thermo-mechanical problems of axisymmetric structures with periodic micro-configurations ⋮ Second-order asymptotic analysis and computations of axially and spherically symmetric piezoelectric problems for composite structures

Uses Software

• VCFEM-HOMO

Cites Work

• Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates
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• Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
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