Shape optimization using time evolution equations

DOI10.1002/NME.5848zbMATH Open1548.7464MaRDI QIDQ6555279

Daisuke Murai, Tsuguo Kondoh, Atsushi Kawamoto

Publication date: 14 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

partial differential equationsadjoint variable methodshape optimization problemstime evolution equations

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Initial-boundary value problems for second-order parabolic systems (35K51) Geometrical methods for optimization problems in solid mechanics (74P20)

Cites Work

• Title not available (Why is that?)
• A shape optimization approach based on natural design variables and shape functions
• Topology optimization by a time-dependent diffusion equation
• A SMOOTHING METHOD FOR SHAPE OPTIMIZATION: TRACTION METHOD USING THE ROBIN CONDITION
• A fictitious energy approach for shape optimization
• 3‐D shape optimal design and automatic finite element regridding
• Three-dimensional shape optimization

This page was built for publication: Shape optimization using time evolution equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6555279)