Topology Optimization Using Multiscale Finite Element Method for High-Contrast Media

DOI10.1007/978-3-662-43880-0_38zbMath1467.65101OpenAlexW283891445MaRDI QIDQ5116369

Boyan Stefanov Lazarov

Publication date: 25 August 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-43880-0_38

zbMATH Keywords

eigenvalue problemtopology optimizationisotropicmultiscale finite element methodhigh contrast medialinear elastic systemNavier-Cauchy equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Linear elasticity with initial stresses (74B10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Topological methods for optimization problems in solid mechanics (74P15) PDEs in connection with mechanics of deformable solids (35Q74) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (3)

Fast multiscale contrast independent preconditioners for linear elastic topology optimization problems ⋮ Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner ⋮ Numerical Homogenization of Epoxy-Clay Composite Materials

Uses Software

• top.m
• top88.m

Cites Work

• Unnamed Item
• Efficient topology optimization in MATLAB using 88 lines of code
• Parallel framework for topology optimization using the method of moving asymptotes
• Efficient reanalysis techniques for robust topology optimization
• Multiscale finite element methods for high-contrast problems using local spectral basis functions
• Multiscale finite element coarse spaces for the application to linear elasticity
• Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
• Spectral Element Agglomerate Algebraic Multigrid Methods for Elliptic Problems with High-Contrast Coefficients
• Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
• Multiscale Finite Element Methods
• The method of moving asymptotes—a new method for structural optimization

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