Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities

DOI10.1007/s10915-023-02437-6OpenAlexW4391648068WikidataQ128357111 ScholiaQ128357111MaRDI QIDQ6202017

Qinglin Tang, Shuyu Ye, Qiang Ma, Zhi-Hui Li, Jun-Zhi Cui

Publication date: 21 February 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-023-02437-6

zbMATH Keywords

Steklov eigenvalue problemsthree-scale asymptotic expansioncomposite perforated materialsmulti-scale finite element algorithmsecond-order expansion terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Asymptotic expansions of solutions to PDEs (35C20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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