Automated modelling of evolving discontinuities

DOI10.3390/a2031008zbMath1461.65252OpenAlexW2051866751MaRDI QIDQ1662489

Garth N. Wells, Mehdi Nikbakht

Publication date: 20 August 2018

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a2031008

zbMATH Keywords

fractureextended finite element methodpartition of unityautomationform compiler

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Modeling and simulation of keyhole-based welding as multi-domain problem using the extended finite element method ⋮ Finite element quadrature of regularized discontinuous and singular level set functions in 3D problems ⋮ Unified form language

Uses Software

• XFEM
• DOLFIN
• FEniCS

Cites Work

• The partition of unity finite element method: basic theory and applications
• Arbitrary discontinuities in finite elements
• A new method for modelling cohesive cracks using finite elements
• Optimizations for quadrature representations of finite element tensors through automated code generation
• DOLFIN
• Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements
• Automated Code Generation for Discontinuous Galerkin Methods
• An extended finite element library
• Elastic crack growth in finite elements with minimal remeshing
• THE PARTITION OF UNITY METHOD
• A finite element method for crack growth without remeshing
• The generalized finite element method

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