An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework

DOI10.1007/978-3-319-59387-6_11zbMath1451.74035OpenAlexW2754620884MaRDI QIDQ4562625

Lucas Silveira Campos, Jon Trevelyan, S. H. Kettle, G. Hattori, Éder Lima Albuquerque

Publication date: 17 December 2018

Published in: Integral Methods in Science and Engineering, Volume 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59387-6_11

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Theories of fracture and damage (74A45)

Cites Work

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• An accelerated symmetric time-domain boundary element formulation for elasticity
• A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics
• Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
• A fast 3D dual boundary element method based on hierarchical matrices
• Rapid solution of integral equations of classical potential theory
• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• Adaptive low-rank approximation of collocation matrices
• A direct evaluation of stress intensity factors using the extended dual boundary element method
• New anisotropic crack-tip enrichment functions for the extended finite element method
• A fast multipole boundary integral equation method for crack problems in 3D
• The fast solution of boundary integral equations.
• Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D
• A fast hierarchical dual boundary element method for three-dimensional elastodynamic crack problems
• A fast dual boundary element method for 3D anisotropic crack problems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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