Fast and accurate algorithm for cavities reconstruction in an elasticity problem

DOI10.1002/mma.5706zbMath1434.35220OpenAlexW2954222231WikidataQ127675656 ScholiaQ127675656MaRDI QIDQ5214862

Mourad Hrizi, Maatoug Hassine, Nejmeddine Chorfi, Mohamed Abdelwahed

Publication date: 5 February 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5706

zbMATH Keywords

linear elasticityshape optimizationtopological gradientKohn-Vogelius functionaltopological sensitivity analysis

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Optimization of shapes other than minimal surfaces (49Q10) PDEs in connection with mechanics of deformable solids (35Q74) Sensitivity analysis for optimization problems on manifolds (49Q12) Pattern formations in context of PDEs (35B36)

Related Items (2)

A phase-field approach for detecting cavities via a Kohn–Vogelius type functional ⋮ Cavities identification in linear elasticity: energy-gap versus L²-gap cost functionals

This page was built for publication: Fast and accurate algorithm for cavities reconstruction in an elasticity problem