Multiscale Approach for Optimal Design in Conductivity of Composite Materials

DOI10.1137/13094904XzbMath1312.74041MaRDI QIDQ5253776

Li-qun Cao, Jian-Jun Liu, Jun-Zhi Cui, Ning-Ning Yan

Publication date: 28 May 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

finite element methodhomogenizationcomposite materialsmultiscale asymptotic methodoptimal design in conductivitythe interior point optimizer

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Electromagnetic effects in solid mechanics (74F15) Optimization of other properties in solid mechanics (74P10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (3)

Balanced Truncation Based on Generalized Multiscale Finite Element Method for the Parameter-Dependent Elliptic Problem ⋮ Minimization of the elliptic higher eigenvalues for multiphase anisotropic conductors ⋮ Asymptotic Analysis of Nonlinear Robin-Type Boundary Value Problems with Small Periodic Structure

Cites Work

• Numerical study of a relaxed variational problem from optimal design
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• An investigation concerning optimal design of solid elastic plates
• Regularized formulation for optimal design of axisymmetric plates
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• On the optimal distribution of the resistivity tensor of the working substance in a magnetohydrodynamic channel
• Solution of Interface Problems by Homogenization. I
• Solution of Interface Problems by Homogenization. II
• Solution of Interface Problems by Homogenization. III
• Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
• Boundary layer tails in periodic homogenization
• An Example of a Max-Min Problem in Partial Differential Equations
• Shape optimization by the homogenization method
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