Parametric structural optimization with radial basis functions and partition of unity method

DOI10.1080/10556788.2010.546399zbMath1229.90196OpenAlexW2047327588MaRDI QIDQ3096869

Michael Yu Wang, Hon Shan Ho, Bonnie F. Y. Lui

Publication date: 15 November 2011

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2010.546399

zbMATH Keywords

structural optimizationradial basis functionslevel set methodshape optimizationtopology optimizationpartition of unity

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (4)

Cellular level set in B-splines (CLIBS): a method for modeling and topology optimization of cellular structures ⋮ Parametric structural optimization with dynamic knot RBFs and partition of unity method ⋮ The D-RBF-PU method for solving surface PDEs ⋮ Reverse shape compensation via a gradient-based moving particle optimization method

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Generating optimal topologies in structural design using a homogenization method
• Incorporating topological derivatives into level set methods.
• Structural optimization using sensitivity analysis and a level-set method.
• Structural boundary design via level set and immersed interface methods
• Level set methods and dynamic implicit surfaces
• A level set method for structural topology optimization.
• A moving superimposed finite element method for structural topology optimization
• Radial basis functions and level set method for structural topology optimization
• Exponential convergence andH-c multiquadric collocation method for partial differential equations
• A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs

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