\(\mathrm{E(FG)}^2\): a new fixed-grid shape optimization method based on the element-free Galerkin mesh-free analysis: taking large steps in shape optimization

DOI10.1007/s00158-006-0018-xzbMath1245.74052OpenAlexW2120515743MaRDI QIDQ445482

Florin Bobaru, Srinivas Rachakonda

Publication date: 25 August 2012

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-006-0018-x

zbMATH Keywords

element-free Galerkin methodfictitious domain

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Finite element methods applied to problems in solid mechanics (74S05) Algorithms for approximation of functions (65D15) Compliance or weight optimization in solid mechanics (74P05)

Related Items (3)

A gradient-based shape optimization scheme using an interface-enriched generalized FEM ⋮ Fixed-mesh curvature-parameterized shape optimization of an acoustic horn ⋮ Structural Shape Optimization By Coupled FE–MM and Swarm Intelligence-Based Algorithm

Cites Work

• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Meshless methods: An overview and recent developments
• \(hp\)-meshless cloud method
• New boundary condition treatments in meshfree computation of contact problems
• Optimal shape profiles for cooling fins of high and low conductivity
• Boundary layer in shape optimization of convective fins using a meshfree approach
• Element‐free Galerkin methods
• Fixed grid finite elements in elasticity problems
• FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART I: APPLICATION TO THE SOLUTION OF ELLIPTIC STATE PROBLEMS
• FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART II: APPLICATION TO THE SOLUTION OF SHAPE OPTIMIZATION PROBLEMS
• A moving mesh fictitious domain approach for shape optimization problems
• A geometry projection method for shape optimization
• Adaptivity for structured meshfree particle methods in 2D and 3D
• Heat and mass transfer bibliography - Soviet works
• Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method

This page was built for publication: \(\mathrm{E(FG)}^2\): a new fixed-grid shape optimization method based on the element-free Galerkin mesh-free analysis: taking large steps in shape optimization