Reconstruction of cracks and material losses by perimeter-like penalizations and phase-field methods: numerical results

DOI10.4171/IFB/262zbMath1231.35313arXiv1005.3704OpenAlexW2007416840MaRDI QIDQ651810

Wolfgang Ring, Luca Rondi

Publication date: 19 December 2011

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3704

zbMATH Keywords

inverse problemscracksphase-fieldoptimality systemcavitiesperimeter penalization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Brittle fracture (74R10) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (4)

A phase-field approach for detecting cavities via a Kohn–Vogelius type functional ⋮ Identification of cavities and inclusions in linear elasticity with a phase-field approach ⋮ On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology ⋮ Reconstruction of material losses by perimeter penalization and phase-field methods

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