scientific article; zbMATH DE number 1247179

zbMath0910.65076MaRDI QIDQ4226742

Li-qun Cao, Jun-Zhi Cui

Publication date: 2 February 1999

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zbMATH Keywords

numerical resultserror estimatesfinite element methodnumerical experimentsasymptotic analysisboundary layerPoisson equationcomposite materialsperiodic structures

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials ⋮ Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates ⋮ Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure ⋮ 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 ⋮ Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates ⋮ Multi-scale modal analysis for axisymmetric and spherical symmetric structures with periodic configurations ⋮ Second-order asymptotic analysis and computations of axially and spherically symmetric piezoelectric problems for composite structures

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