Anisotropic mesh adaptation for the generalized Ambrosio-Tortorelli functional with application to brittle fracture

DOI10.1016/j.camwa.2017.08.009zbMath1409.74045OpenAlexW2753204195MaRDI QIDQ1732477

Simona Perotto, Marianna Signorini, Stefano Micheletti

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.08.009

zbMATH Keywords

brittle fracturea posteriori error estimatoradaptive finite element methodanisotropic mesh adaptationAmbrosio-Tortorelli functional

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

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Uses Software

• FreeFem++
• Ipopt

Cites Work

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