Topology optimization and boundary elements-a preliminary implementation for linear heat transfer

DOI10.1016/j.enganabound.2007.01.005zbMath1195.80040OpenAlexW1969681638MaRDI QIDQ1958371

Rogério José Marczak

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.01.005

zbMATH Keywords

heat transferboundary element methodstopology optimizationtopological derivativetopological sensitivity

Mathematics Subject Classification ID

Optimization problems in thermodynamics and heat transfer (80M50) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15)

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A boundary element approach for topology design in diffusive problems containing heat sources, Boundary Element Method applied to decision-making problems involving geometric variabilities in topology optimization, An isogeometric boundary element approach for topology optimization using the level set method, Applying the topological derivative and the boundary element method to design of shape of the heat exchanger, Algorithm of rebuilding a boundary of domain during creation of an optimal shape, Determination of an optimal shape of domain using the topological derivative and the boundary element method, Topology optimization of 2D elastic structures using boundary elements, Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method, Inverse scattering analysis in acoustics via the BEM and the topological-shape sensitivity method, A level-set topological optimization method to analyze two-dimensional thermal problem using BEM, Topology optimization of three-dimensional load-bearing structures using boundary elements, Numerical investigations with extended isogeometric boundary element analysis (XIBEM) for direct and inverse Helmholtz acoustic problems

Cites Work

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• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Generating optimal topologies in structural design using a homogenization method
• Topological sensitivity analysis
• Structural optimization using sensitivity analysis and a level-set method.
• The shape and topological optimizations' connection
• Structural boundary design via level set and immersed interface methods
• Topology and shape optimization of structures using FEM and BEM: a bibliography (1999--2001).
• A level set method for structural topology optimization.
• Shape and topology design for heat conduction by evolutionary structural optimization
• A level-set method for vibration and multiple loads structural optimization
• Evolutionary topology optimization for temperature reduction of heat conducting fields
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• On the Topological Derivative in Shape Optimization
• THE TOPOLOGICAL DERIVATIVE FOR THE POISSON'S PROBLEM