A truly meshless method based on partition of unity quadrature for shape optimization of continua

DOI10.1007/s00466-006-0032-2zbMath1178.74189OpenAlexW1989704436MaRDI QIDQ1015550

J. Martínez

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-006-0032-2

zbMATH Keywords

Meshless methodPartition of unityDesign sensitivity analysisShape optimizationTruly meshless method

Mathematics Subject Classification ID

Related Items (3)

Meshfree Methods: A Comprehensive Review of Applications ⋮ Maximum-entropy meshfree method for compressible and near-incompressible elasticity ⋮ Structural Shape Optimization By Coupled FE–MM and Swarm Intelligence-Based Algorithm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• Solving partial differential equations by collocation using radial basis functions
• Free mesh method: A new meshless finite element method
• Smoothed particle hydrodynamics: Some recent improvements and applications
• Meshless shape design sensitivity analysis and optimization for contact problem with friction
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• Investigations on reproducing kernel particle method enriched by partition of unity and visibility criterion
• Die shape design optimization of sheet metal stamping process using meshfree method
• Element‐free Galerkin methods
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• THE PARTITION OF UNITY METHOD
• Meshfree analysis and design sensitivity analysis for shell structures
• A truly meshless Galerkin method based on a moving least squares quadrature
• Reproducing kernel particle methods
• Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method

This page was built for publication: A truly meshless method based on partition of unity quadrature for shape optimization of continua